Question

factor each expression: 3x^2-27y^2

Answer 1

someone help

Answer 2

well what do they both have in common? start there

Answer 3

square root

Answer 4

well, that's a good observation, anything else?

Answer 5

you can take out the three and factor

Answer 6

very good! so what do you get when you take the three out of both?

Answer 7

x^2-9y^2

Answer 8

dont forget you still have the three on the outside!

3(x^2 - 9y^2)

Answer 9

ok, now do you know about the difference of squares factorization?

Answer 10

no

Answer 11

well, the difference of squares says this:

\[a ^{2}-b ^{2} = (a -b)(a+b)\]

Answer 12

would it be 3(x+3) (x-3y)

Answer 13

nice! good job!! just a few syntax things to take care of to make sure your teacher doesn't missunderstand you:

3[(x+3y)(x-3y)]

Answer 14

you're welcome

Answer 15

thanks