Question

Simplify: –4(2x – 3y) + 4x – 2(x + 6)

A. –6x
B. –6x + 24y
C. 12y – 12
D. –6x + 12y – 12

Answer 1

Multiply the first bracket by -4. Multiply the second bracket by -2

-8x+12y+4x-2x-12

Negative and Negative = Positive

Negative and Positive = Negative

Then do -8x+4x-2x

= -6x+12y-12

Answer is D. -6x+12y-12

Answer 2

D. -6x + 12y - 12

First, distribute the -4 and the -2.

-8x + 12y + 4x - 2x - 12

Now, rearrange the expression so the like terms are easier to combine.

-8x + 4x - 2x + 12y - 12

Now, combine the like terms.

-6x + 12y - 12

This is as simple as the expression can get without knowing what the variables are.