# How do you simplify (2x^2 + xy + 3y^2) - (x^2 - xy + 2y^2)?

Jun 15, 2015

 =color(red)( x^2 +2xy + y^2

#### Explanation:

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

Grouping like terms

$\left(2 {x}^{2} - {x}^{2}\right) + \left(x y + x y\right) + \left(3 {y}^{2} - 2 {y}^{2}\right)$
 =color(red)( x^2 +2xy + y^2