Which is the factored form of 9x^2 - 36xy + 36y^2?
A: 6(x - y)^2
B: (3x - 6y)(3x + 6y)
C: (3x + 6y)^2
D: (3x - 6y)^2
I think that it is D: (3x - 6y)^2 but I don't know.
Please show work!
None of the answers are fully factored
"B" is correct...however......(3x - 6y)(3x - 6y) can be factored further as
3(x - 2y) * 3 ( x - 2y) = 9 (x -2y)2
9x^2 -36xy + 36y^2
Take out the greatest common factor
9 (x^2 - 4xy + 4y^2)
Factor the polynomial in theparenthese
9 (x - 2y) (x - 2y)
9 (x - 2y)2