# What is the standard form of y=(2x-3)(x+5) ?

Feb 19, 2017

$y = 2 {x}^{2} + 7 x - 15$

#### Explanation:

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

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

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

$y = 2 {x}^{2} + 10 x - 3 x - 15$

We can now combine like terms:

$y = 2 {x}^{2} + \left(10 - 3\right) x - 15$

$y = 2 {x}^{2} + 7 x - 15$