# How do you simplify ( 5x^3-10x+7)-(6x^3-20x+10) ?

May 20, 2018

$- {x}^{3} + 10 x - 3$

#### Explanation:

$\left(5 {x}^{3} - 10 x + 7\right) - \left(6 {x}^{3} - 20 x + 10\right)$

First, distributive the negative sign to everything in the parenthesis:
$\left(5 {x}^{3} - 10 x + 7\right) - 6 {x}^{3} + 20 x - 10$

Now color-code the like terms:
$\textcolor{red}{5 {x}^{3}} \quad \textcolor{g r e e n}{- \quad 10 x} \quad \textcolor{b l u e}{+ \quad 7} \quad \textcolor{red}{- \quad 6 {x}^{3}} \quad \textcolor{g r e e n}{+ \quad 20 x} \quad \textcolor{b l u e}{- \quad 10}$

Combine like terms:
$- {x}^{3} + 10 x - 3$

Hope this helps!