# What is (-x^2+3x)-(5x+2x^2)?

Apr 27, 2018

$- 3 {x}^{2} - 2 x$

#### Explanation:

Distribute the negative side to the right parentheses so the question becomes
$\left(- {x}^{2} + 3 x\right) \left(- 5 x - 2 {x}^{2}\right)$ and then combine like terms:

$- {x}^{2} - 2 {x}^{2} = - 3 {x}^{2}$

$3 x - 5 x = - 2 x$

$- 3 {x}^{2} - 2 x$

Apr 27, 2018

$- 3 {x}^{2} - 2 x$

#### Explanation:

To simplify this, we first have to distribute the negative sign:
$- \left(5 x + 2 {x}^{2}\right)$ means that you multiply everything inside the parenthesis to the negative sign, or $- 1$.

So that becomes $- 5 x - 2 {x}^{2}$

Let's put that back into the original expression:
$- {x}^{2} + 3 x - 5 x - 2 {x}^{2}$

Now let's color code the like terms so that we can combine them:
$\textcolor{red}{- {x}^{2}} \quad \textcolor{b l u e}{+ \quad 3 x} \quad \textcolor{b l u e}{- \quad 5 x} \quad \textcolor{red}{- \quad 2 {x}^{2}}$

Combine like terms:
$- 3 {x}^{2} - 2 x$

Hope this helps!