# How do you simplify ( 8x^2 -9x - 1) - ( -6x^2 + 4x - 8 )?

Jan 31, 2016

See explanation..

#### Explanation:

$\left(8 {x}^{2} - 9 x - 1\right) - \left(- 6 {x}^{2} + 4 x - 8\right)$

Always remember that if we need to subtract we need to change the signs.

$\rightarrow 8 {x}^{2} - 9 x - 1 + 6 {x}^{2} + 4 x - 8$

$\rightarrow 14 {x}^{2} - 9 x - 1 + 4 x - 8$

$\rightarrow 14 {x}^{2} - 5 x - 1 - 8$

$\rightarrow 14 {x}^{2} - 5 x - 9$

Factor

$\rightarrow \left(14 x + 9\right) \left(x - 1\right)$

See the video for better explanation: