HCF LCM_3
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MotorTranscript
00:30Is the audio and video clear for you all?
00:34Tell me my friend
00:38How are you all? Good evening, good evening, good evening
00:40Good evening to everyone
00:42Very very good evening
00:44How are you all?
00:48Let's go
01:00How are you all? Good evening, good evening, good evening
01:22Let's go
01:24Now let's move forward
01:26We have told you about HCF and LCM
01:28In total 19 questions
01:30What is the concept here?
01:32How is it?
01:34Now from question no. 20
01:38We will tell you all the questions
01:40Let's go
01:42Question no. 20
01:44You have been told
01:46You have to find the HCF of different polynomials
01:48If we talk
01:50Like this
01:52Then
01:54These are 3 terms
01:56If you want to find the HCF
01:58I will explain in few ways
02:00What kinds of kind you can write
02:02What is the HCF
02:04The highest common factor
02:06You can take it commonly
02:08Do you understand what i am saying
02:12When we divide this
02:14When we do it in three parts
02:16Then how will it become
02:18Understand
02:20and hcf means a number that you can take common from everyone
02:24a number that you can take common from everyone
02:29so if you go here with the purpose of taking common from everyone
02:32then how will you go here
02:34like the first thing here is x power 4 minus 1
02:38this is our first one
02:40the second one is here
02:43x cube
02:44after that
02:45minus 3x
02:48after that 3x
02:50and after that minus 1
02:52and after that our next one is
02:55x cube minus 2x square
03:00and plus
03:02now hcf means
03:05a number that we can take common from everyone
03:09sets and indices class not coming
03:12no problem that is also being processed
03:14and after processing you will get 1 hour
03:16so there is no need to worry about it
03:18sometimes it is processed quickly
03:21sometimes it takes some time
03:23if not then we will provide you the video in half an hour
03:26in other ways
03:27we have many ways
03:29for now you understand this
03:30so if I have to take hcf of these three terms
03:33then I have to learn to factorize all three terms
03:36that here each term is equal to whom
03:38so what is the method number 1 that we are telling
03:40so through method number 1
03:43first we will factorize it
03:45in which it breaks
03:47so if you have read
03:49a square minus b square
03:51it will break in that way
03:53so we can write x power 4
03:55as x square whole square
03:57and after that we can write
03:59a whole square
04:01so a square minus b square
04:03so a square minus b square
04:05a square minus b square
04:07will break in a minus b into a plus b
04:09so here
04:11a square minus b square
04:13will break
04:15in a minus b
04:17into a plus b
04:19so keep this in mind
04:21if you consider x square as a
04:23so a square minus b square
04:25a minus b into a plus b
04:27will break
04:29x square minus 1
04:31will break in x minus 1
04:33into x plus 1
04:35into x square plus 1
04:37so this term
04:39has been factorized
04:41in three parts
04:43have you understood
04:45now we will talk about
04:47the second term
04:49so the second term is
04:51x cube
04:53after that
04:55minus 3x square
04:57after that
04:59plus 3x
05:01and minus 1
05:03actually here
05:05a cube minus
05:07whole cube
05:09this whole term
05:11is x minus 1
05:13whole cube
05:15after that
05:17minus
05:19formula of
05:21a minus b
05:23if you write
05:25a minus b
05:27a cube
05:29minus 3a square
05:31after that
05:333ab square
05:35minus b cube
05:37plus 1 minus 1
05:39plus 1 minus
05:41plus minus
05:43plus minus
05:45a cube
05:47x cube
05:49minus 3
05:51a square into b
05:53after that
05:553a into b square
05:57and this will become a cube
05:59so this is a little
06:01when you ask a lot of questions
06:03so after going there
06:05you get to know
06:07which thing can be broken
06:09like if you
06:11read here
06:13then you get to know
06:15that this is a whole cube
06:17this is method no.1
06:19and the third
06:21term
06:23is
06:25x cube
06:27minus 2x square
06:29plus
06:31x
06:33if we take out x common
06:35so if we take out x common
06:37so this will become
06:39x square minus 2x
06:41and plus 1
06:43and x is here
06:45after that what we will write this number
06:47so this is a minus b whole square
06:49this is a minus b whole square
06:51so how to see a minus b whole square
06:53a square minus
06:552ab and plus b square
06:57this is like this
06:59so this is the common sense
07:01that god has given
07:03based on that
07:05which thing is common
07:07in everyone
07:09so when you talk about
07:11hcf then what is hcf
07:13the biggest common factor
07:15so if you see
07:17you can take x minus 1
07:19here how many powers
07:21of x minus 1? 1 power
07:23here 2 power of x minus 1
07:25here 3 power of x minus 1
07:27so a power which we can take
07:29common from everyone
07:31so that will be 1 power of x minus 1
07:331 power of x minus 1
07:35he will also get happiness
07:37he will also get
07:39so what will be their hcf
07:41so their hcf will be x minus 1
07:43this is our method number 1
07:45which we call conventional method
07:47that we can make question like this
07:49but my brother
07:51you have to understand this
07:53and you say
07:55you teach very well
07:57it seems like you will get selected
07:59very good my brother
08:01thank you for your compliment
08:03thank you
08:05now see what is said here
08:07now I tell you
08:09understand this was your method number 1
08:11now we tell you method number 2
08:13see
08:15the person who comes out of hcf
08:17so this hcf somewhere
08:19this is the factor
08:21means this hcf will divide this
08:23you don't have to divide
08:25don't worry
08:27we tell you shortcut here
08:29whenever you make polynomial questions
08:31whenever what to do
08:33make polynomial questions
08:35whenever you make polynomial questions
08:37so what you have to do
08:39understand that
08:41in polynomial questions
08:43whatever options will be there
08:45whatever will be given
08:47if suppose this is hcf
08:49means my brother will divide all three
08:51if this is hcf
08:53means he will divide all three
08:55if this is hcf
08:57means he will divide all three
08:59what is hcf
09:01means my brother will divide all three
09:03and dividing means
09:05if we put its value there
09:07then it will be equal to 0
09:09may be you understand less
09:11what is meant by saying
09:13if I consider option number b
09:15if option number b is hcf
09:17so what you have to do
09:19keep x-2 as 0
09:21because
09:23whatever number will be hcf
09:25it will work as a factor
09:27if this is hcf then it is a factor of all three
09:29and whatever factor is there
09:31it is kept as 0
09:33so if you keep this factor as 0
09:35then value of x will come
09:37and if I am keeping value of x
09:39everywhere
09:41then answer should be 0
09:43like I kept value of x as 2
09:45here 2 power 4-1
09:47so power of 4-1 is
09:4915 out of 16
09:51and 15 is not equal to 0
09:53so this means this answer will not work
09:55similarly if you keep value of x
09:57as 2 here
09:59it will also not be equal to 0
10:01but when you keep option number d
10:03and when you said
10:05let's keep this as 0
10:07so I said keep this as 0
10:09keeping this as 0 means
10:11x-1 and if
10:13x-1 is a factor
10:15then it should satisfy everyone
10:17so power of x is 4-1
10:19this means
10:21when you keep value of x
10:23as 1 then
10:251-1 is equal to 0
10:27it is satisfied
10:29the second one
10:31is x cube
10:33minus 3x square
10:35plus 3x
10:37minus 1
10:39here keep value of x as 1
10:411-3 plus 3-1
10:43here also it is 0
10:45it is a mess
10:47third one is
10:49x cube
10:51minus 2x square
10:53plus x
10:55if you keep value of x as 1
10:57minus 2
10:59it will also be 0
11:01so the correct factor
11:03which my brother says
11:05that if he is my son
11:07then his DNA will be equal
11:09which is my descendant
11:11so his DNA and my DNA will be same
11:13in the same way
11:15if it is a factor
11:17then keeping value of x as 1
11:19it will bring equal value
11:210-0-0
11:23but if it is not a factor
11:25then in any case
11:27in any situation
11:29it will not be 0
11:31Deepak Kumant Chandravarshi
11:33sound is slow
11:35so do one thing
11:37buy a speaker
11:39if you want to hear my voice
11:41then listen to my voice
11:43then you can hear my voice
11:45because we have a habit
11:47to speak like this
11:49or you can buy a earphone
11:51which has more sound than
11:53capacity
11:55which gives
11:57DJ sound
11:59you will get DJ sound
12:01great way
12:03understood
12:05now my brother
12:07next question
12:09next question
12:11is
12:13what is HCF
12:15what is HCF
12:17what is HCF
12:19it is a number
12:21which is common to everyone
12:23understood
12:25ok
12:27so here
12:31it is not common to everyone
12:33so here I have to find
12:35HCF
12:37it is a number
12:39which is common to everyone
12:41here
12:43what will it be
12:45what will it be
12:47what will it be
12:49in this situation
12:51I have a way
12:53but don't use it
12:55if you use it
12:57then you will be in trouble
12:59ok
13:01let it be
13:03you have understood
13:05HCF very well
13:07and here
13:09HCF means
13:11common to everyone
13:13but before HCF we teach you
13:15how to break terms
13:17like any term
13:19for example
13:21x square minus y square
13:23how to break it
13:25after that
13:27x power 4 minus y power 4
13:29how to break it
13:31x power 8 minus y power 8
13:33how to break it
13:35suppose
13:37x power 16
13:39and y power 16
13:41how to break it
13:43to break everything
13:45you can break it in a second
13:47how to do it
13:49you don't have to do anything
13:51you can do it in a second
13:53you know
13:55if you want to break
13:5716
13:598
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15:411
15:431
15:451
15:471
15:491
15:511
15:531
15:551
15:571
15:591
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16:051
16:071
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16:151
16:171
16:191
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16:231
16:251
16:271
16:291
16:311
16:331
16:351
16:371
16:391
16:411
16:431
16:451
16:471
16:491
16:511
16:531
16:551
16:571
16:591
17:011
17:031
17:051
17:071
17:091
17:111
17:131
17:151
17:171
17:191
17:211
17:231
17:251
17:271
17:291
17:311
17:331
17:351
17:371
17:391
17:411
17:431
17:451
17:471
17:491
17:511
17:531
17:551
17:571
17:591
18:011
18:031
18:051
18:071
18:091
18:111
18:131
18:151
18:171
18:191
18:211
18:231
18:251
18:271
18:291
18:311
18:331
18:351
18:371
18:391
18:411
18:431
18:451
18:471
18:491
18:511
18:531
18:551
18:571
18:591
19:011
19:031
19:051
19:071
19:091
19:111
19:131
19:151
19:171
19:191
19:211
19:231
19:251
19:271
19:291
19:311
19:331
19:351
19:371
19:391
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19:431
19:451
19:471
19:491
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19:551
19:571
19:591
20:011
20:031
20:051
20:071
20:091
20:111
20:131
20:151
20:171
20:191
20:211
20:231
20:251
20:271
20:291
20:311
20:331
20:351
20:371
20:391
20:411
20:431
20:451
20:471
20:491
20:511
20:531
20:551
20:571
20:591
21:011
21:031
21:051
21:071
21:091
21:111
21:131
21:151
21:171
21:191
21:211
21:231
21:251
21:271
21:291
21:311
21:331
21:351
21:371
21:391
21:411
21:431
21:451
21:471
21:491
21:511
21:531
21:551
21:571
21:591
22:011
22:031
22:051
22:071
22:091
22:111
22:131
22:151
22:171
22:191
22:211
22:231
22:251
22:271
22:291
22:311
22:331
22:351
22:371
22:391
22:411
22:431
22:451
22:471
22:491
22:511
22:531
22:551
22:571
22:591
23:011
23:031
23:051
23:071
23:091
23:111
23:131
23:151
23:171
23:191
23:211
23:231
23:251
23:271
23:291
23:311
23:331
23:351
23:371
23:391
23:411
23:431
23:451
23:471
23:491
23:511
23:531
23:551
23:571
23:591
24:011
24:031
24:051
24:071
24:091
24:111
24:131
24:151
24:171
24:191
24:211
24:231
24:251
24:271
24:291
24:311
24:331
24:351
24:371
24:391
24:411
24:431
24:451
24:471
24:491
24:511
24:531
24:551
24:571
24:591
25:011
25:031
25:051
25:071
25:091
25:111
25:131
25:151
25:171
25:191
25:211
25:231
25:251
25:271
25:291
25:311
25:331
25:351
25:371
25:391
25:411
25:431
25:451
25:471
25:491
25:511
25:531
25:551
25:571
25:591
26:011
26:031
26:051
26:071
26:091
26:111
26:131
26:151
26:171
26:191
26:211
26:231
26:251
26:271
26:291
26:311
26:331
26:351
26:371
26:391
26:411
26:431
26:451
26:471
26:491
26:511
26:531
26:551
26:571
26:591
27:011
27:031
27:051
27:071
27:091
27:111
27:131
27:151
27:171
27:191
27:211
27:231
27:251
27:271
27:291
27:311
27:331
27:351
27:371
27:391
27:411
27:431
27:451
27:471
27:491
27:511
27:531
27:551
27:571
27:591
28:011
28:031
28:051
28:071
28:091
28:111
28:131
28:151
28:171
28:191
28:211
28:231
28:251
28:271
28:291
28:311
28:331
28:351
28:371
28:391
28:411
28:431
28:451
28:471
28:491
28:511
28:531
28:551
28:571
28:591
29:011
29:031
29:051
29:071
29:091
29:111
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29:151
29:171
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29:271
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29:371
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29:431
29:451
29:471
29:491
29:511
29:531
29:551
29:571
29:591
30:011
30:031
30:051
30:071
30:091
30:111
30:131
30:151
30:171
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30:551
30:571
30:591
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31:031
31:051
31:071
31:091
31:111
31:131
31:151
31:171
31:191
31:211
31:231
31:251
31:271
31:291
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31:331
31:351
31:371
31:391
31:411
31:431
31:451
31:471
31:491
31:511
31:531
31:551
31:571
31:591
32:011
32:031
32:051
32:071
32:091
32:111
32:131
32:151
32:171
32:191
32:211
32:231
32:251
32:271
32:291
32:311
32:331
32:351
32:371
32:391
32:411
32:431
32:451
32:471
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32:591
33:011
33:031
33:051
33:071
33:091
33:111
33:131
33:151
33:171
33:191
33:211
33:231
33:251
33:271
33:291
33:311
33:331
33:351
33:371
33:391
33:411
33:431
33:451
33:471
33:491
33:511
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33:551
33:571
33:591
34:011
34:031
34:051
34:071
34:091
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34:171
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34:271
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34:331
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34:371
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34:431
34:451
34:471
34:491
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34:531
34:551
34:571
34:591
35:011
35:031
35:051
35:071
35:091
35:111
35:131
35:151
35:171
35:191
35:211
35:231
35:251
35:271
35:291
35:311
35:331
35:351
35:371
35:391
35:411
35:431
35:451
35:471
35:491
35:511
35:531
35:551
35:571
35:591
36:011
36:031
36:051
36:071
36:091
36:111
36:131
36:151
36:171
36:191
36:211
36:231
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36:271
36:291
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36:331
36:351
36:371
36:391
36:411
36:431
36:451
36:471
36:491
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36:551
36:571
36:591
37:011
37:031
37:051
37:071
37:091
37:111
37:131
37:151
37:171
37:191
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37:231
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37:271
37:291
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37:331
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37:391
37:411
37:431
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39:431
39:451
39:471
39:491
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39:531
39:551
39:571
39:591
40:011
40:031
40:051
40:071
40:091
40:111
40:131
40:151
40:171
40:191
40:211
40:231
40:251
40:271
40:291
40:311
40:331
40:351
40:371
40:391
40:411
40:431
40:451
40:471
40:491
40:511
40:531
40:551
40:571
40:591
41:011
41:031
41:051
41:071
41:091
41:111
41:131
41:151
41:171
41:191
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41:271
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41:431
41:451
41:471
41:491
41:511
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41:551
41:571
41:591
42:011
42:031
42:051
42:071
42:091
42:111
42:131
42:151
42:171
42:191
42:211
42:231
42:251
42:271
42:291
42:311
42:331
42:351
42:371
42:391
42:411
42:431
42:451
42:471
42:491
42:511
42:531
42:551
42:571
42:591
43:011
43:031
43:051
43:071
43:091
43:111
43:131
43:151
43:171
43:191
43:211
43:231
43:251
43:271
43:291
43:311
43:331
43:351
43:371
43:391
43:411
43:431
43:451
43:471
43:491
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