Factor the expression. $x ^ { 2 } ( x - 5 ) ^ { 3 } + x ^ { 3 } ( x - 5 ) ^ { 2 }$
A) $x ( 2 x + 5 ) ( x - 5 ) ^ { 2 }$
B) $x ^ { 2 } ( 2 x + 5 ) ( x - 5 ) ^ { 2 }$
C) $x ( 2 x - 5 ) ^ { 2 } ( x - 5 ) ^ { 2 }$
D) $x ^ { 2 } ( 5 x - 5 ) ( 2 x - 5 )$
E) $x ^ { 2 } ( 2 x - 5 ) ( x - 5 ) ^ { 2 }$

Question

Quizplus · Accepted Answer

The expression can be factored by taking out the common factor of $x^2(x-5)^2$, leaving us with $(x-5)(x^2(2x-5)+x(x-5)^2)=\boxed{(E) \, x^2(2x-5)(x-5)^2}$

Factor the Expression x2(x−5)3+x3(x−5)2x ^ { 2 } ( x - 5 ) ^ { 3 } + x ^ { 3 } ( x - 5 ) ^ { 2 }x2(x−5)3+x3(x−5)2

Factor the Expression $x ^ { 2 } ( x - 5 ) ^ { 3 } + x ^ { 3 } ( x - 5 ) ^ { 2 }$