# What is the standard form of y= (x + 1)(x + 10) ?

Dec 16, 2015

$y = {x}^{2} + 11 x + 10$

#### Explanation:

The standard form of a quadratic equation follows the general equation:

$y = a {x}^{2} + b x + c$

To find the standard form of the equation, expand the brackets:

$y = \left(\textcolor{red}{x} + \textcolor{b l u e}{1}\right) \left(\textcolor{\mathmr{and} a n \ge}{x} + \textcolor{g r e e n}{10}\right)$
$y = \textcolor{red}{x} \left(\textcolor{\mathmr{and} a n \ge}{x}\right) + \textcolor{red}{x} \left(\textcolor{g r e e n}{10}\right) + \textcolor{b l u e}{1} \left(\textcolor{\mathmr{and} a n \ge}{x}\right) + \textcolor{b l u e}{1} \left(\textcolor{g r e e n}{10}\right)$
$y = {x}^{2} + 10 x + x + 10$
$y = {x}^{2} + 11 x + 10$