# How do you multiply (x+2)^3?

Jul 11, 2016

${x}^{3} + 6 {x}^{2} + 12 x + 8$

#### Explanation:

A rule of cubing binomials: ${\left(a + b\right)}^{3} = {a}^{3} + 3 {a}^{2} b + 3 a {b}^{2} + {b}^{3}$
This is an easier method to follow as opposed to multiplying out the binomials.

${\left(x + 2\right)}^{3}$

${x}^{3} + 3 \left({x}^{2}\right) \left(2\right) + 3 \left(x\right) \left({2}^{2}\right) + {2}^{3}$

${x}^{3} + 6 {x}^{2} + 12 x + 8$