How do you simplify the expression (4x-3y)(x+5y)?

Feb 19, 2017

See the entire simplification process below:

Explanation:

To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

$\left(\textcolor{red}{4 x} - \textcolor{red}{3 y}\right) \left(\textcolor{b l u e}{x} + \textcolor{b l u e}{5 y}\right)$ becomes:

$\left(\textcolor{red}{4 x} \times \textcolor{b l u e}{x}\right) + \left(\textcolor{red}{4 x} \times \textcolor{b l u e}{5 y}\right) - \left(\textcolor{red}{3 y} \times \textcolor{b l u e}{x}\right) - \left(\textcolor{red}{3 y} \times \textcolor{b l u e}{5 y}\right)$

$4 {x}^{2} + 20 x y - 3 x y - 15 {y}^{2}$

We can now combine like terms:

$4 {x}^{2} + \left(20 - 3\right) x y - 15 {y}^{2}$

$4 {x}^{2} + 17 x y - 15 {y}^{2}$