Factor the binomial completely. $$
25 x ^ { 2 } - 81 y ^ { 2 }
$$
A) $( 5 x + 9 y ) ^ { 2 }$
B) $( 5 x - 9 y ) ^ { 2 }$
C) $( 5 x + 9 y ) ( 5 x - 9 y )$
D) $( 25 x + 9 y ) ( x - 9 y )$

Name: Factor the binomial completely. \[ 25 x ^ { 2 } - 81 y ^ { 2 } \] A) $( 5 x + 9 y ) ^ { 2 }$ B) $( 5 x - 9 y ) ^ { 2 }$ C) $( 5 x + 9 y ) ( 5 x - 9 y )$ D) $( 25 x + 9 y ) ( x - 9 y )$
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Question

Quizplus · Accepted Answer

This is a difference of squares, factored as $(a+b)(a-b)$ where $a = 5x$ and $b = 9y$.

Factor the Binomial Completely 25x2−81y225 x ^ { 2 } - 81 y ^ { 2 }25x2−81y2

Factor the Binomial Completely $25 x ^ { 2 } - 81 y ^ { 2 }$