Factor completely: $25 x ^ { 2 } - 64 y ^ { 2 }$
A) $( 5 x - 8 y ) ^ { 2 }$
B) (5xy +8)(5xy - 8)
C) (5x +8y)(5x - 8y)
D) 25(x + 8y)(x - 8y)

Name: Factor completely: $25 x ^ { 2 } - 64 y ^ { 2 }$ A) $( 5 x - 8 y ) ^ { 2 }$ B) (5xy +8)(5xy - 8) C) (5x +8y)(5x - 8y) D) 25(x + 8y)(x - 8y)
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Question

Factor completely: $25 x ^ { 2 } - 64 y ^ { 2 }$
A) $( 5 x - 8 y ) ^ { 2 }$ 
B) (5xy +8)(5xy - 8)
C) (5x +8y)(5x - 8y) 
D) 25(x + 8y)(x - 8y)

Quizplus · Accepted Answer

We can recognize this as a difference of squares, where 25x^2 is the square of 5x and 64y^2 is the square of 8y. So we have (5x + 8y)(5x - 8y) as our factors. Therefore, the answer is choice C.

Factor Completely 25x2−64y225 x ^ { 2 } - 64 y ^ { 2 }25x2−64y2

Factor Completely $25 x ^ { 2 } - 64 y ^ { 2 }$