# How do you evaluate (4x + 5y ) ( 3x + 3y )?

Nov 29, 2017

$12 {x}^{2} + 27 x y + 15 {y}^{2}$

#### Explanation:

Rather than evaluating this expression, we can simplify it.

FOIL the terms:

$\left(4 x + 5 y\right) \left(3 x + 3 y\right)$

$= \left(4 x \setminus \cdot 3 x\right) + \left(4 x \setminus \cdot 3 y\right) + \left(5 y \setminus \cdot 3 x\right) + \left(5 y \setminus \cdot 3 y\right)$

$= 12 {x}^{2} + 12 x y + 15 x y + 15 {y}^{2}$

$= 12 {x}^{2} + 27 x y + 15 {y}^{2}$