# What is the standard form of y= (-2x-15)(3x-1) ?

Mar 25, 2018

See a solution process below:

#### Explanation:

To transform this equation to standard form you can multiply these two terms by multiplying each individual term in the left parenthesis by each individual term in the right parenthesis.

$y = \left(\textcolor{red}{- 2 x} - \textcolor{red}{15}\right) \left(\textcolor{b l u e}{3 x} - \textcolor{b l u e}{1}\right)$ becomes:

$y = \left(\textcolor{red}{- 2 x} \times \textcolor{b l u e}{3 x}\right) + \left(\textcolor{red}{2 x} \times \textcolor{b l u e}{1}\right) - \left(\textcolor{red}{15} \times \textcolor{b l u e}{3 x}\right) + \left(\textcolor{red}{15} \times \textcolor{b l u e}{1}\right)$

$y = - 6 {x}^{2} + 2 x - 45 x + 15$

We can now combine like terms:

$y = - 6 {x}^{2} + \left(2 - 45\right) x + 15$

$y = - 6 {x}^{2} + \left(- 43\right) x + 15$

$y = - 6 {x}^{2} - 43 x + 15$