# What is the standard form of y=(2x+7)(-3x-2) -4x^2-8?

Jan 10, 2016

$y = - 10 {x}^{2} - 25 x - 22$

#### Explanation:

Distribute the binomials using the FOIL method.

$y = {\overbrace{2 x \left(- 3 x\right)}}^{\text{First"+overbrace(2x(-2))^"Outside"+overbrace(7(-3x))^"Inside"+overbrace(7(-2))^"Last}} - 4 {x}^{2} - 8$

$y = - 6 {x}^{2} - 4 x - 21 x - 14 - 4 {x}^{2} - 8$

Sort by term ($x$ with $x$, constants with constants):

$y = - 6 {x}^{2} - 4 {x}^{2} - 4 x - 21 x - 14 - 8$

Combine like terms.

$y = - 10 {x}^{2} - 25 x - 22$

This is in standard form since the exponents are in descending order.