# How do you write (5k + 2)(3k + 1) in standard form?

Apr 24, 2016

$15 {k}^{2} + 11 k + 2$

#### Explanation:

Use FOIL, or in other words, distribute the terms in the first parenthesis to the terms in the second parenthesis.

So this would be:
$\left(5 k + 2\right) \left(3 k + 1\right)$

$5 k \left(3 k\right) + 5 k \left(1\right) + \left(2\right) \left(3 k\right) + 2 \left(1\right)$
$15 {k}^{2} + 5 k + 6 k + 2$
$15 {k}^{2} + 11 k + 2$