Factor completely.
-$125 x ^ { 2 } - 245 y ^ { 2 }$
A) $( 5 x + 7 y ) ( 25 x - 35 y )$
B) $5 ( 5 x - 7 y ) ^ { 2 }$
C) $( 25 x + 35 y ) ( 5 x - 7 y )$
D) $5 ( 5 x + 7 y ) ( 5 x - 7 y )$

Question

Quizplus · Accepted Answer

This expression is a difference of squares, which can be factored as $a^2 - b^2 = (a + b)(a - b)$. Here, $125x^2 = (5x)^2$ and $245y^2 = (7y)^2$, so the factorization is $5(5x + 7y)(5x - 7y)$.

Factor Completely 125x2−245y2125 x ^ { 2 } - 245 y ^ { 2 }125x2−245y2

Factor Completely $125 x ^ { 2 } - 245 y ^ { 2 }$