# What is the standard form of y=(4x + 3)(x/2-5) ?

Jun 23, 2018

$y = 2 {x}^{2} - \frac{37}{2} x - 15$

#### Explanation:

Let's use FOIL to simplify this problem and get rid of the parentheses:

$y = \left(4 x + 3\right) \left(\frac{x}{2} - 5\right)$
$y = \left(4 x\right) \left(\frac{x}{2}\right) + \left(4 x\right) \left(- 5\right) + \left(3\right) \left(\frac{x}{2}\right) + \left(3\right) \left(- 5\right)$
$y = \frac{4 {x}^{2}}{2} + \left(- 20 x\right) + \frac{3}{2} x + \left(- 15\right)$
$y = 2 {x}^{2} - 20 x + \frac{3}{2} x - 15$
$y = 2 {x}^{2} - \frac{37}{2} x - 15$

Since we are in standard form (terms are in descending order based on their degrees), this is our answer.