# What is the standard form of y=(2x + 3)(3x-6) ?

Mar 11, 2018

$y = 6 {x}^{2} - 3 x - 18$

#### Explanation:

Standard form = Exponents in descending order.

First, expand the brackets using FOIL. See: How do you FOIL ${\left(7 - a\right)}^{2}$? for more info.

$y = \left(2 x \cdot 3 x\right) + \left(2 x \cdot - 6\right) + \left(3 \cdot 3 x\right) + \left(3 \cdot - 6\right)$
$y = 6 {x}^{2} - 12 x + 9 x - 18$
$y = 6 {x}^{2} - 3 x - 18$

That is already in standard form/descending order.