ggoland19 ggoland19

22-01-2018
Mathematics

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Factor 25x2 – 16.

A. (5x – 4)2
B. (5x + 4)2
C. (5x + 4)(5x – 4)
D. (5x + 1)(5x – 1)

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chrysanthemum chrysanthemum

22-01-2018

25x^2 - 16

(5x - 4)2 = 10x - 8
(5x + 4)2 = 10x + 8
(5x + 4)(5x - 4) = 25x^2 - 20x + 20x - 16 = 25^2 - 16
(5x + 1)(5x - 1) = 25x^2 - 5x + 5x - 1 = 25x^2 - 1

Answer:
C. (5x + 4)(5x - 4)

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