Question

which expression is equivalent to 5(-6z + 2)?
2(-6z + 5)
5(2z - 6)
5(-8z + 2z + 2)
2(5z - 6)

Explanation:

Step1: Expand the original expression

Use the distributive property \(a(b + c)=ab+ac\). For \(5(-6z + 2)\), we have \(5\times(-6z)+5\times2=-30z + 10\).

Step2: Expand option C

For \(5(-8z + 2z+2)\), first simplify the terms inside the parentheses: \(-8z + 2z=-6z\), so the expression becomes \(5(-6z + 2)\). Then using the distributive - property \(5\times(-6z)+5\times2=-30z + 10\), which is the same as the original expression.

Answer:

5(-8z + 2z + 2)