Question

1. expand the expression. -2(-3x + 6)

Explanation:

Step1: Apply distributive property

We use the distributive property \(a(b + c)=ab+ac\), here \(a = - 2\), \(b=-3x\) and \(c = 6\). So we have \(-2\times(-3x)+(-2)\times6\).

Step2: Calculate each term

For the first term, \(-2\times(-3x)=6x\) (because multiplying two negative numbers gives a positive number). For the second term, \(-2\times6=-12\).

Step3: Combine the terms

Combining the two terms we get \(6x-12\).

Answer:

\(6x - 12\)