Question

combining like terms with negative coefficients & distribution
google classroom microsoft teams
simplify to create an equivalent expression.
2(-2 - 4p)+2(-2p - 1)
choose 1 answer:
a -12p - 6
b -10p - 6
c -12p + 6
d 12p - 6

Explanation:

Step1: Apply distributive property

\[

$$\begin{align*} 2(-2 - 4p)+2(-2p - 1)&=2\times(-2)+2\times(-4p)+2\times(-2p)+2\times(-1)\\ &=-4-8p - 4p-2 \end{align*}$$

\]

Step2: Combine like - terms

\[

$$\begin{align*} -4-8p - 4p-2&=(-8p-4p)+(-4 - 2)\\ &=-12p-6 \end{align*}$$

\]

Answer:

A. $-12p - 6$