Factor completely.
-$25 k ^ { 2 } - 169 m ^ { 2 }$
A) $( 5 \mathrm { k } + 13 \mathrm {~m} ) ^ { 2 }$
B) Prime
C) $( 5 k - 13 m ) ^ { 2 }$
D) $( 5 k + 13 m ) ( 5 k - 13 m )$

Name: Factor completely. -$25 k ^ { 2 } - 169 m ^ { 2 }$ A) $( 5 \mathrm { k } + 13 \mathrm {~m} ) ^ { 2 }$ B) Prime C) $( 5 k - 13 m ) ^ { 2 }$ D) $( 5 k + 13 m ) ( 5 k - 13 m )$
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Question

Quizplus · Accepted Answer

This expression is a difference of squares, factoring into $(5k)^2 - (13m)^2 = (5k + 13m)(5k - 13m)$.

Factor Completely 25k2−169m225 k ^ { 2 } - 169 m ^ { 2 }25k2−169m2

Factor Completely $25 k ^ { 2 } - 169 m ^ { 2 }$