Question

factor

63x^2 - 175

show me how to do it step by step please

Answer 1

First factor out 7

Answer 2

Can you do that?

Answer 3

how where is 7

Answer 4

It is a factor of 63 and of 175

Answer 5

7 times 9 = 63
7 times 25 = 175
So factor out the 7

Answer 6

oh greatest common factor?

Answer 7

yes

Answer 8

greatest common factor is the highest number that goes into both correct

Answer 9

yes

Answer 10

ok i did 7(

Answer 11

What did you get for the other factor?

Answer 12

what do you mean i thought its 7

Answer 13

\[63x^2-175=7(9x^2-25)\]

Answer 14

Now we see that the other factor is 9x^2-25 which is the difference of two squares.
Can you factor 9x^2-25?

Answer 15

oooh

Answer 16

no

Answer 17

Can you factor x^2-4?

Answer 18

2?

Answer 19

well 3*3=9

Answer 20

\[x^2-4=(x-2)(x+2)\]

Answer 21

\[9x^2-25=(3x-5)(3x+5)\]

Answer 22

oooh
so basically we find the greatest common factor and then find what goes into 9 then put that in the nfind what goes into 25

Answer 23

Not quite. You factor out the greatest common factor and then you factor the binomial that remains by recognizing that it is the difference of two squares.

Answer 24

can you help me with this one.. a^4 - a^2 b^2

Answer 25

Have you studied in your class that
\[a^2-b^2=(a-b)(a+b)\]

Answer 26

yes i understand what we just went over i get it in my own way now can you help me with the one i just posted b4 u commented just that

Answer 27

can you help me with this one.. a^4 - a^2 b^2

Answer 28

first factor out the GCF which is a^2

Answer 29

wait how

Answer 30

\[a^4-a^2b^2=a^2(\]

Answer 31

What goes inside the parenthesis?

Answer 32

why did u pick the a^2

Answer 33

Because it is the GCF of a^4 and a^2b^2

Answer 34

how do you know that that