Question

DISTRIBUTIVE PROPERTY Use the distributive property to rewrite the expression without parentheses. $$ (2 x-4)(-3) $$

Short answer

\(-6x + 12\)

Step-by-step solution

Identification

Identify the terms inside and outside the parentheses, namely \(2x-4\) inside and \(-3\) outside.

Apply the Distributive Property

Distribute \(-3\) across each term inside the parentheses, which means multiplying \(-3\) with each term inside the parentheses. We get \(-3*2x + -3*-4\).

Simplify the Expression

Upon simplifying, \(-3*2x\) is \(-6x\) and \(-3*-4\) is \(12\). So, this brings the expression to \(-6x + 12\).