# How do you expand and simplify (2x - 3)(3x + 5)?

Jun 17, 2017

See a solution process below:

#### Explanation:

To expand and simplify this you expression you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

$\left(\textcolor{red}{2 x} - \textcolor{red}{3}\right) \left(\textcolor{b l u e}{3 x} + \textcolor{b l u e}{5}\right)$ becomes:

$\left(\textcolor{red}{2 x} \times \textcolor{b l u e}{3 x}\right) + \left(\textcolor{red}{2 x} \times \textcolor{b l u e}{5}\right) - \left(\textcolor{red}{3} \times \textcolor{b l u e}{3 x}\right) - \left(\textcolor{red}{3} \times \textcolor{b l u e}{5}\right)$

$6 {x}^{2} + 10 x - 9 x - 15$

We can now combine like terms:

$6 {x}^{2} + \left(10 - 9\right) x - 15$

$6 {x}^{2} + 1 x - 15$

$6 {x}^{2} + x - 15$