Question

http://prntscr.com/ax74h6

Answer 1

You can see that the common factor is 3a²b.

Answer 2

why r u copying my pic ;-; @math&ing001

Answer 3

yes i see that

Answer 4

That's @AloneS 's pic lol
Well after identifying the common factor, you basically just factorize.

Answer 5

factorize? @math&ing001

Answer 6

;~;

Answer 7

ok lets go thru this step by step

Answer 8

you ready

Answer 9

first we factor the coefficients

Answer 10

Here's an example 56a²b³ + 24ab² = 8ab²*7ab + 8ab²*3 = 8ab²(7ab+3)

Answer 11

sorry

Answer 12

first we need to find the GCF of the coefficients

Answer 13

so...

Answer 14

we need the GCF of 9, 24, and 15

Answer 15

do you know what the GCF of those numbers are?

Answer 16

3

Answer 17

I'll give a hint list the prime factors of these three numbers and find the factor that they all have in common.

Answer 18

can you do that?

Answer 19

sorry ddi not see that 3. so ok

Answer 20

now we need to find the GCF of variable a and b.

Answer 21

i do not understand that part

Answer 22

ok now let's first find the GCF of our 3 a variables

Answer 23

a^4
a^3
a^2
now i will factorize them and you will tell me what they have in common

Answer 24

ok?
@ILovePuppiesLol

Answer 25

@ILovePuppiesLol

Answer 26

a^4 = a*a*a*a
a^3 = a*a*a
a^2 = a*a
how much a's do the three have in common?

Answer 27

i see 2 a's in common @tomy12345 lol

Answer 28

ok now for the b variables

Answer 29

b^3 = b*b*b
b^2 = b*b
b^1 = b
how much b's do the three have in common?

Answer 30

1

Answer 31

ok

Answer 32

so to factor completely we need to do opposite of distributive property.

Answer 33

so when we finish factorizing it should look something like...

(this is just a example):...

Answer 34

\[3a^3b^6(3^4-4a^3+b^2)\]

Answer 35

now lets use the information of the...
coefficient =
a-variable =
b-variable =

these are the gcf's

Answer 36

now can you fill the numbers in?

Answer 37

the a variable is 2 and b variable is 1 right

Answer 38

yes now for the coefficient

Answer 39

3?

Answer 40

yes now can you put the GCF of that trinomial together? using...

Answer 41

coefficient = 3
a-variable = a^2
b-variable = b

Answer 42

yes sir

Answer 43

\[3a^2b\]

Answer 44

perfect

Answer 45

now for the next part

Answer 46

ok now for your three other terms

Answer 47

this is how our equation looks right now...

Answer 48

\[3a^2b(?+?-?)\]

Answer 49

i am no genius

Answer 50

now to find out what goes in those three spots we divide our three terms by...

Answer 51

http://prntscr.com/axiwet

Answer 52

now to find out what goes in those three spots we divide our three terms by...\[3a^2\]

Answer 53

woops sorry...

Answer 54

was i correct?

Answer 55

\[3a^2b\]

Answer 56

let me check

Answer 57

no

Answer 58

ok lets go thru it one term after another

Answer 59

dividing \[3a^2b / 9a^4b^3\]

Answer 60

so first of all you know that when dividing variables you just subtract there exponents.

can you divide it know for me?

Answer 61

can you divide it now for me?

Answer 62

i can show you its simple (if you want)

Answer 63

sure, please show me, i hate these problems @TOMY12345 don't forget to tag me lol xD if i am inactive

Answer 64

ok sorry

Answer 65

so part by part here to

Answer 66

first the coefficient 9/3

Answer 67

=

Answer 68

@ILovePuppiesLol

Answer 69

3

Answer 70

ok

Answer 71

now the a variable (remember all we have to do is subtract exponents when dividing)...

Answer 72

\[a^4/a^2\]

Answer 73

=

Answer 74

a^2

Answer 75

good

Answer 76

now can you do the b variable by yourself for the first term

Answer 77

@ILovePuppiesLol

Answer 78

reporting for duty sir

Answer 79

its just b

Answer 80

sorry for taging you to much xd

Answer 81

no, look...
write the first term and post it for me to see...

Answer 82

wait was it supposed to be b^2

Answer 83

yes

Answer 84

ohhhhh

Answer 85

did you get it why it is b^2

Answer 86

\[3a^2b(3a^2b^2+?−?)\]

Answer 87

can you try finding out the other two terms by yourself (just want to make sure you got how to do it)

Answer 88

8ab-5?

Answer 89

YES,YES you got it nice job (did you guess)

Answer 90

nope

Answer 91

good job

Answer 92

;)

Answer 93

but you got it that was the important part

Answer 94

it is kind of interesting why when dividing variables you subtract instead :)