Question

Which expression is not equivalent to the other expressions?

-6(2x - 4)
-(12x - 6) + 18
-3(4x - 3) + 15
-4(3x + 6)

Answer 1

Answer: simplified version of the answer above: D, -4(3x + 6) is the correct answer.

Explanation:

Answer 2

-6(2x - 4) = -6*(2x) -6*(-4) = -12x + 24

-(12x - 6) + 18 = -12x + 6 + 18 = -12x + 24

-3(4x - 3) + 15 = -3*(4x) -3*(-3) + 15 = -12x + 9 + 24 = -12x + 24

-4(3x + 6) = -4*(3x) -4*(6) = -12x -24

All the expressions gave the same answer as -12x + 24, except for the last expression.

So, -4(3x + 6) is not equivalent to the others.