# What is the standard form of  y= (2x + 7) (2x + 2) ?

Jul 31, 2016

$y = 4 {x}^{2} + 18 x + 14$

#### Explanation:

Write as $y = \textcolor{b l u e}{\left(2 x + 7\right)} \textcolor{b r o w n}{\left(2 x + 2\right)}$

Multiply everything in the right hand side brackets by everything in the left. Note that the + in +7 follows the 7.

$y = \textcolor{b r o w n}{\textcolor{b l u e}{2 x} \left(2 x + 2\right) \text{ } \textcolor{b l u e}{+ 7} \left(2 x + 2\right)}$

$y = 4 {x}^{2} + 4 x \text{ } + 14 x + 14$

$y = 4 {x}^{2} + 18 x + 14$