Question

Which expression is equivalent to -24 -12wA.-6(4-2w) B.6(-4+2w)C.-6(4+2w)D.6(4-2w)

Answer 1

`C\text{. }-6(4+2w)`

Step-by-step explanation

`-24-12w`

Step 1

factorize each term

`\begin{gathered} -24=-6\cdot4 \\ -12w=-6\cdot2w \end{gathered}`

replace,

`\begin{gathered} -24-12w=-6\cdot4-6\cdot2w \\ \text{the common factor is -6,so} \\ -24-12w=-6\cdot4-6\cdot2w=-6(4+2w) \end{gathered}`

so, the answer is

`C\text{. }-6(4+2w)`

I hope this helps you.