Factor Completely: 2x2 - 200 A) (x - 20) (x + 10) B) (x - 10) (x + 10) C) 2 (x - 4) (x + 50) D) 2 (x + 10) (x - 10)

Question

Jonathan Lamb

Mathematics

11 July, 01:44

Factor Completely: 2x2 - 200 A) (x - 20) (x + 10) B) (x - 10) (x + 10) C) 2 (x - 4) (x + 50) D) 2 (x + 10) (x - 10)

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Cheyanne · Answer 1

D) 2 (x + 10) (x - 10)

Step-by-step explanation:

2x^2 - 200

factor out a 2

2 (x^2 - 100)

both x^2 and 100 are squares so

a^2 - b^2 = (a + b) (a - b)

a=x and b = 10

2 (x^2 - 100) = 2 (x-10) (x+10)

= 2 (x+10) (x-10) the order in which we multiply doesn't matter