Factor the following polynomial completely. -x^2y^2 + x4 + 4y^2 - 4x^2 1.) (x - 2)(x - 2)(x + y)(x - y) 2.) (x + 2)(x + 2)(x + y)(x - y) 3.) (x + 2)(x - 2)(x + y)(x - y)

-x^2y^2 + x4 + 4y^2 - 4x^2

= x^2(x^2 - y^2) -4(x^2 - y^2)

= (x^2 - y^2) (x^2 - 4)

=(x + y)(x -y)(x + 2)(x - 2)

answer

3.) (x + 2)(x - 2)(x + y)(x - y)

= (y^2 - x^2) (

well what did you do it matters what you did : )

step-by-step explanation:

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)