Mathematics: Which of the following expressions is equal to -3x^2-12 a. (-3x+2i)(x-6i) b. (-3x-6i)(x+2i) +6i)(x+2i) d. (-3x-4i)(x-3i)

The answer to your question is 19.5...

Which of the following expressions is equal to -3x^2-12

amazinga

11.03.2022

Given expression: -3x^2-12.

Let us factor out Greatest Common Factor first.

Greatest Common Factor is -3 there.

Factoring out -3 there.

-3(x^2+4)

4 could be written as -(2i)^2 .

Therefore,

-3(x^2+4) = -3[x^2-(2i)^2]

Applying difference of the square identity (a)^2-(b)^2 = (a-b)(a+b) , we get

-3[x^2-(2i)^2] = -3(x-2i)(x+2i)

Distributing -3 in first parenthesis, we get

-3(x-2i)(x+2i) = (-3x+6i)(x+2i)

Therefore, correct option is C.(-3x+6i)(x+2i).

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