# What is the standard form of  y= (2x+14)(x-7)?

Dec 23, 2016

$y = 2 {x}^{2} - 98$

or

$y = 2 {x}^{2} + 0 x - 98$

#### Explanation:

To transform this equation to the standard form we must cross multiply each term in the right parenthesis by each term in the left parenthesis:

$y = \left(\textcolor{red}{2 x} \cdot \textcolor{b l u e}{x}\right) + \left(\textcolor{red}{2 x} \cdot \textcolor{b l u e}{- 7}\right) + \left(\textcolor{red}{14} \cdot \textcolor{b l u e}{x}\right) + \left(\textcolor{red}{14} \cdot \textcolor{b l u e}{- 7}\right)$

$y = 2 {x}^{2} - 14 x + 14 x - 98$

We can now group like terms:

$y = 2 {x}^{2} \textcolor{g r e e n}{- 14 x + 14 x} - 98$

$y = 2 {x}^{2} \textcolor{g r e e n}{- 0} - 98$

$y = 2 {x}^{2} - 98$