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

Jul 26, 2018

$y = - 10 {x}^{2} - 35 x - 21$

#### Explanation:

Given -

$y = \left(2 x + 7\right) \left(- 3 x - 3\right) - 4 {x}^{2} - 8 x$

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

$y = - 10 {x}^{2} - 35 x - 21$

Jul 26, 2018

Expand the brackets

$y = \left(2 x + 7\right) \left(- 3 x - 3\right) - 4 {x}^{2} - 8 x$

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

Collect like terms

$\implies y = - 10 {x}^{2} - 35 x - 21$

Now it is in the form $y = a {x}^{2} + b x + c$