Question

Factor the GCF: 21x3y4 + 15x2y2 − 12xy3.

3xy(7x2y3 + 5x − 4y)
3xy(7x2y + 5x − 4y2)
3xy2(7x2y + 5x − 4y)
3xy2(7x2y2 + 5x − 4y)

Answer 1

hi any idea ? do you know what mean GCF ?

Answer 2

exactly - nice so from these choices what you think that may be true ?

Answer 3

ok step by step

for 21, 15 and 12 what nr. may be the GCF ?

Answer 4

are you sure ?

Answer 5

why not ? bc. this is right

Answer 6

ok i thought it was wrong because i guesses to be honest :/

Answer 7

so but do you know why is right ? i will try explain it to you - just please collaborate - ok?

Answer 8

ok

Answer 9

ty.

the GCF for 12,15 and 21 what nr. is ?

Answer 10

how you can get it ?

Answer 11

do you know the way ?

Answer 12

not really but im pretty sure its 3

Answer 13

ok looke please

21 = 3*7
15 = 3*5
12 = 3*4

so what nr. is common there ?

Answer 14

3

Answer 15

yes so please remember and try learn it tis is the way

ok. ?

now for x^3 ,x^2 and x what is the common term ?

Answer 16

x^3 = x*x*x
x^2 =x*x
x = x

Answer 17

so the term would be x

Answer 18

yes sure and now for y

there are y^4 = y^2 *y^2
y^2 =y^2

y^3 = y*y^2

Answer 19

so that term would be y right

Answer 20

yes y is common term but you need getting the greatest

Answer 21

so ho would i do that ??

Answer 22

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jhonyy9
yes sure and now for y

there are y^4 = y^2 *y^2
y^2 =y^2

y^3 = y*y^2
\(\color{#0cbb34}{\text{End of Quote}}\)


above than you check what term of y is common ?

Answer 23

2

Answer 24

no

y^2 not is greatest than y ?