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

Jun 11, 2016

Standard form is $\frac{2}{3} {x}^{2} + 9 x + 12$

#### Explanation:

Standard form of equation is of the type $y = a {x}^{2} + b x + c$.

Hence, multiplying the two binomials, we get

$y = \left(2 x + 3\right) \left(\frac{x}{3} + 4\right)$

= $2 x \left(\frac{x}{3} + 4\right) + 3 \left(\frac{x}{3} + 4\right)$

= $\frac{2}{3} {x}^{2} + 8 x + x + 12$

= $\frac{2}{3} {x}^{2} + 9 x + 12$