# What is the standard form of y= (2x-2)(3x-14)-3?

Dec 24, 2015

$y = 6 {x}^{2} - 34 x + 25$

#### Explanation:

Distribute (FOIL) the two binomials.

$y = \left(6 {x}^{2} - 28 x - 6 x + 28\right) - 3$

Combine like terms.

$y = 6 {x}^{2} + \left(- 28 x - 6 x\right) + \left(28 - 3\right)$

$y = 6 {x}^{2} - 34 x + 25$

This is in standard form since the degrees are placed in descending order. (${x}^{2} , x$, constant)