# What is the standard form of y=(2x – 3)(x+4) ?

Jan 25, 2017

$y = 2 {x}^{2} + 5 x - 12$

#### Explanation:

$y = \left(2 x - 3\right) \left(x + 4\right)$

We can write it as follows:

$\left(2 x - 3\right) \left(x + 4\right) = y$

$2 x \left(x + 4\right) - 3 \left(x + 4\right) = y$

$\left(2 x\right) \left(x\right) + \left(2 x\right) \left(4\right) - \left(3\right) \left(x\right) - \left(3\right) \left(4\right) = y$

$2 {x}^{2} + 8 x - 3 x - 12 = y$

$2 {x}^{2} + 5 x - 12 = y$.Now, the equation is in its standard form.