Factor completely.
-$$a ^ { 2 } - 40 a b + 400 b ^ { 2 }$$
A) $( a - 20 b ) ^ { 2 }$
B) $( a + 20 b ) ( a - 20 b )$
C) $( a + 20 b ) ^ { 2 }$
D) Prime

Question

Quizplus · Accepted Answer

This expression can be factored using the perfect square trinomial formula, which states that for a trinomial of the form $a^2-2ab+b^2$, the factors are $(a-b)^2$. Thus, we can rewrite the expression as $(a-20b)^2$, which is choice A.

Factor Completely a2−40ab+400b2a ^ { 2 } - 40 a b + 400 b ^ { 2 }a2−40ab+400b2

Factor Completely $a ^ { 2 } - 40 a b + 400 b ^ { 2 }$