What is the standard form of  y=(3x + 2)(x + 4) ?

Jun 12, 2017

See a solution process below:

Explanation:

To put this equation in standard form we must multiply these two terms by multiplying each individual term in the left parenthesis by each individual term in the right parenthesis.

$y = \left(\textcolor{red}{3 x} + \textcolor{red}{2}\right) \left(\textcolor{b l u e}{x} + \textcolor{b l u e}{4}\right)$ becomes:

$y = \left(\textcolor{red}{3 x} \times \textcolor{b l u e}{x}\right) + \left(\textcolor{red}{3 x} \times \textcolor{b l u e}{4}\right) + \left(\textcolor{red}{2} \times \textcolor{b l u e}{x}\right) + \left(\textcolor{red}{2} \times \textcolor{b l u e}{4}\right)$

$y = 3 {x}^{2} + 12 x + 2 x + 8$

We can now combine like terms:

$y = 3 {x}^{2} + \left(12 + 2\right) x + 8$

$y = 3 {x}^{2} + 14 x + 8$