Factor the trinomial, if possible.
-$$25 a ^ { 2 } + 50 a b + 25 b ^ { 2 }$$
A) $25 ( a - b ) ^ { 2 }$
B) $( 5 a - 5 b ) ^ { 2 }$
C) $( 5 a + 5 b ) ^ { 2 }$
D) $25 ( a + b ) ^ { 2 }$

Question

Quizplus · Accepted Answer

The given trinomial is a perfect square trinomial, factoring into $25(a+b)^2$, since $(5a)^2 = 25a^2$, $2(5a)(5b) = 50ab$, and $(5b)^2 = 25b^2$.

Factor the Trinomial, If Possible 25a2+50ab+25b225 a ^ { 2 } + 50 a b + 25 b ^ { 2 }25a2+50ab+25b2

Factor the Trinomial, If Possible $25 a ^ { 2 } + 50 a b + 25 b ^ { 2 }$