Factor by any method.
-$64 k ^ { 2 } - 49 m ^ { 2 }$
A) $( 8 k + 7 m ) ^ { 2 }$
B) $( 8 k - 7 m ) ^ { 2 }$
C) $( 8 k + 7 m ) ( 8 k - 7 m )$
D) $( 64 k + m ) ( k - 49 m )$

Name: Factor by any method. -$64 k ^ { 2 } - 49 m ^ { 2 }$ A) $( 8 k + 7 m ) ^ { 2 }$ B) $( 8 k - 7 m ) ^ { 2 }$ C) $( 8 k + 7 m ) ( 8 k - 7 m )$ D) $( 64 k + m ) ( k - 49 m )$
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Question

Quizplus · Accepted Answer

This expression is a difference of squares, which factors into $(a + b)(a - b)$. Here, $a = 8k$ and $b = 7m$, so the factored form is $(8k + 7m)(8k - 7m)$.

Factor by Any Method 64k2−49m264 k ^ { 2 } - 49 m ^ { 2 }64k2−49m2

Factor by Any Method $64 k ^ { 2 } - 49 m ^ { 2 }$