# How do you subtract (8x^2 + 5) − (3x^2 − x + 7)?

Apr 5, 2018

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

#### Explanation:

Distribute the negative sign through the second term, yielding

$8 {x}^{2} + 5 - 3 {x}^{2} - \left(- x\right) - 7$

Subtracting a negative is the same as adding a positive.

$8 {x}^{2} + 5 - 3 {x}^{2} + x - 7$

Combine like terms.

$8 {x}^{2} - 3 {x}^{2} + x + 5 - 7$

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