# How do you find the sum or difference of (4+2a^2-2a)-(3a^2-8a+7)?

Jan 25, 2017

$- {a}^{2} + 6 a - 3$

#### Explanation:

$\left(4 + 2 {a}^{2} - 2 a\right) - \left(3 {a}^{2} - 8 a + 7\right)$

$\therefore = \left(2 {a}^{2} - 2 a + 4\right) - \left(3 {a}^{2} - 8 a + 7\right)$

$\therefore = 2 {a}^{2} - 2 a + 4 - 3 {a}^{2} + 8 a - 7$

$\therefore = - {a}^{2} + 6 a - 3$