# How do you subtract 7x^2+4x-9 from 5x^2+10x-5?

Jul 27, 2018

$- 2 {x}^{2} + 6 x + 4$

#### Explanation:

Subtract the like terms as described below:

$5 {x}^{2} + 10 x - 5$ - $\left(7 {x}^{2} + 4 x - 9\right)$

Opening the bracket and we get:

$5 {x}^{2} + 10 x - 5 - 7 {x}^{2} - 4 x + 9$

$\left(5 {x}^{2} - 7 {x}^{2}\right) + \left(10 x - 4 x\right) + \left(- 5 + 9\right)$

$- 2 {x}^{2} + 6 x + 4$