# How do you subtract (5x^2+10x+3) - (3x^2-4x+8)?

Feb 2, 2017

$2 {x}^{2} + 14 x - 5$

#### Explanation:

You would change the signs in the second polynomial and sum the like terms:

$\textcolor{red}{5 {x}^{2}} \textcolor{g r e e n}{+ 10 x} + 3 \textcolor{red}{- 3 {x}^{2}} \textcolor{g r e e n}{+ 4 x} - 8$

$2 {x}^{2} + 14 x - 5$