Question

I need help with this question please. This is non graded.

Answer 1

Answer: A

Given:

$(4x^2+8x)-(x^2-10x)$

First, distribute the negative sign:

$\begin{gathered} (4x^{2}+8x)-(x^{2}-10x) \\ \Rightarrow(4x^2+8x)-x^2+10x \\ \Rightarrow4x^2+8x-x^2+10x \end{gathered}$

Then, combine like terms:

$\begin{gathered} \begin{equation*} 4x^2+8x-x^2+10x \end{equation*} \\ \Rightarrow3x^2+18x \end{gathered}$

Then factor out 3x:

$\begin{gathered} \begin{equation*} 3x^2+18x \end{equation*} \\ \Rightarrow3x(x+6) \end{gathered}$

With this, we know that:

$(4x^2+8x)-(x^2-10x)=3x(x+6)$

The answer would then be A.