Question

which of the following equations is equal to 2x^2+8 A. (2x-4i)(x-2i) B. (2x+4i)(x+2i) C. (2x-2i)(x+6i) D. (2x-4i)(x+2i)

Answer 1

(2x-4i) (x+2i)

Explanation:

2x^2+8

Factor out 2

2 ( x^2+4)

Writing as the difference of squares a^2 -b^2 = (a-b) (a+b)

2 ( x^2 -(2i)^2)

2 ( x-2i) (x+2i)

Multiplying the 2 into the first term

(2x-4i) (x+2i)