What is the standard form of y= (2x+7)(3x-1) ?

May 23, 2018

See a solution process below:

Explanation:

To write this equation in standard form you need to multiply the two terms on the right side of the equation by multiplying each individual term in the left parenthesis by each individual term in the right parenthesis.

$y = \left(\textcolor{red}{2 x} + \textcolor{red}{7}\right) \left(\textcolor{b l u e}{3 x} - \textcolor{b l u e}{1}\right)$ becomes:

$y = \left(\textcolor{red}{2 x} \times \textcolor{b l u e}{3 x}\right) - \left(\textcolor{red}{2 x} \times \textcolor{b l u e}{1}\right) + \left(\textcolor{red}{7} \times \textcolor{b l u e}{3 x}\right) - \left(\textcolor{red}{7} \times \textcolor{b l u e}{1}\right)$

$y = 6 {x}^{2} - 2 x + 7 x - 7$

We can now combine like terms:

$y = 6 {x}^{2} + \left(- 2 + 7\right) x - 7$

$y = 6 {x}^{2} + 5 x - 7$