# How do you multiply (4x+6)^2?

Aug 4, 2015

${\left(4 x + 6\right)}^{2} = 16 {x}^{2} + 48 x + 36$

#### Explanation:

To do such calculations you can use the formula:
${\left(a + b\right)}^{2} = {a}^{2} + 2 a b + {b}^{2}$

In this case you substitute: $4 x$ for $a$ and $6$ for $b$ to get:

${\left(4 x + 6\right)}^{2} = {\left(4 x\right)}^{2} + 2 \cdot 4 x \cdot 6 + {6}^{2} = 16 {x}^{2} + 48 x + 36$