Factor the GCF out of the given expression.
-$72 x ^ { 9 } y ^ { 9 } - 108 x ^ { 5 } y ^ { 4 } + 24 x ^ { 7 } y ^ { 2 }$
A) $12 \left( 6 x ^ { 9 } y ^ { 9 } - 9 x ^ { 5 } y ^ { 4 } + 2 x ^ { 7 } y ^ { 2 } \right)$
B) $12 x \left( 6 x ^ { 9 } y ^ { 9 } - 9 x ^ { 5 } y ^ { 4 } + 2 x ^ { 7 } y ^ { 2 } \right)$
C) $12 x ^ { 5 } y ^ { 2 } \left( 6 x ^ { 4 } y ^ { 7 } - 9 y ^ { 2 } + 2 x ^ { 2 } \right)$
D) $12 x ^ { 5 } \left( 6 x ^ { 4 } y ^ { 9 } - 9 y ^ { 4 } + 2 x ^ { 2 } y ^ { 2 } \right)$

Question

Quizplus · Accepted Answer

The greatest common factor (GCF) of the coefficients 72, 108, and 24 is 12. The smallest powers of $x$ and $y$ in the given expression are $x^5$ and $y^2$, respectively. Factoring these out, we get $12 x^5 y^2$ as the GCF.

Factor the GCF Out of the Given Expression 72x9y9−108x5y4+24x7y272 x ^ { 9 } y ^ { 9 } - 108 x ^ { 5 } y ^ { 4 } + 24 x ^ { 7 } y ^ { 2 }72x9y9−108x5y4+24x7y2

Factor the GCF Out of the Given Expression $72 x ^ { 9 } y ^ { 9 } - 108 x ^ { 5 } y ^ { 4 } + 24 x ^ { 7 } y ^ { 2 }$