Question

9
match each expression with an equivalent expression.
-32(2x + 4)
-6(x - 4)
4(-3x + 6)
-12(x + 2) -6x + 24 -12(x - 2)

Explanation:

Step1: Simplify \(-3[2(2x + 4)]\)

First, multiply the numbers inside the brackets: \(2\times(2x + 4)=4x + 8\). Then multiply by \(-3\): \(-3\times(4x + 8)=-12x - 24\). Factor out \(-12\): \(-12(x + 2)\).

Step2: Simplify \(-6(x - 4)\)

Use the distributive property: \(-6\times x + (-6)\times(-4)=-6x + 24\).

Step3: Simplify \(4(-3x + 6)\)

Use the distributive property: \(4\times(-3x)+4\times6=-12x + 24\). Factor out \(-12\): \(-12(x - 2)\).

Answer:

• \(-3[2(2x + 4)]\) matches \(-12(x + 2)\)
• \(-6(x - 4)\) matches \(-6x + 24\)
• \(4(-3x + 6)\) matches \(-12(x - 2)\)