How do you simplify (4x^2 + 3x + 2) - (2x^2 + 2x + 5) ?

Nov 4, 2015

$2 {x}^{2} + x - 3$

Explanation:

$\left(4 {x}^{2} + 3 x + 2\right) - \left(2 {x}^{2} + 2 x + 5\right)$

Distribute the negative sign
$4 {x}^{2} + 3 x + 2 - 2 {x}^{2} - 2 x - 5$

Place like-terms beside each other
$4 {x}^{2} - 2 {x}^{2} + 3 x - 2 x + 2 - 5$

Simplify
$2 {x}^{2} + x - 3$