Question

use the distribute property to create an equivalent expression using the fewest number of terms.
$-15(2x - 2)$
$-30x - 30$
$-15x + 2$
$-30x + 30$
$-15 + 2x + 2

Explanation:

Step1: Apply distributive property

The distributive property is \(a(b + c)=ab+ac\). For \(-15(2x - 2)\), we distribute \(-15\) to both \(2x\) and \(-2\). So we have \(-15\times2x+(-15)\times(-2)\).

Step2: Calculate each term

Calculate \(-15\times2x=-30x\) and \((-15)\times(-2) = 30\). Then combine the terms.

Answer:

\(-30x + 30\) (corresponding to the orange option: \(-30x + 30\))