# What is the standard form of y= (-2x+3)(-x-1) ?

Jun 6, 2018

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

#### Explanation:

Given:

$y = \left(- 2 x + 3\right) \left(- x - 1\right)$

The standard form for a quadratic equation is:

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

To convert the given equation to standard form, multiply the two binomials using the FOIL method.
https://www.ipracticemath.com/learn/algebra/foil-method-of-binomial-multiplication

$y = \left(- 2 x \cdot - x\right) + \left(- 2 x \cdot - 1\right) + \left(3 \cdot - x\right) + \left(3 \cdot - 1\right)$

$y = 2 {x}^{2} + 2 x - 3 x - 3$

Combine like terms.

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