SOLUTION: simplify: x^2(2x-5)^2+x(5-2x)^3 Possible answers: a. x(2x-5)^2 (5-x) b. x(2x-5)^2 (x-5) c. -x(2x-5)^2 (5-x) d. x(2x-5) (5-x)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: simplify: x^2(2x-5)^2+x(5-2x)^3 Possible answers: a. x(2x-5)^2 (5-x) b. x(2x-5)^2 (x-5) c. -x(2x-5)^2 (5-x) d. x(2x-5) (5-x)      Log On


   



Question 40437: simplify:
x^2(2x-5)^2+x(5-2x)^3
Possible answers:
a. x(2x-5)^2 (5-x)
b. x(2x-5)^2 (x-5)
c. -x(2x-5)^2 (5-x)
d. x(2x-5) (5-x)

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
x^2(2x-5)^2+x(5-2x)^3
let y = 2x - 5
x^2*y^2 + x(-y)^3 =
x^2*y^2 + x(y)^2*(-y) =
xy^2(x - y) =
xy^2(x - 2x + 5)=
x(2x - 5)^2(5 - x)
answer is a)