Factor the perfect square trinomial completely.
-$64 y ^ { 2 } - 16 x y + x ^ { 2 }$
A) $( x - 8 y ) ^ { 2 }$
B) prime
C) $( x + 8 y ) ^ { 2 }$
D) $( x - 8 y ) ( x + 8 y )$

Question

Quizplus · Accepted Answer

The trinomial $64y^2 - 16xy + x^2$ is a perfect square because it can be rewritten as $(x - 8y)^2$. This is verified by expanding $(x - 8y)^2$ to get $x^2 - 16xy + 64y^2$, which matches the given trinomial.

Factor the Perfect Square Trinomial Completely 64y2−16xy+x264 y ^ { 2 } - 16 x y + x ^ { 2 }64y2−16xy+x2

Factor the Perfect Square Trinomial Completely $64 y ^ { 2 } - 16 x y + x ^ { 2 }$