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

Mar 18, 2016

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

#### Explanation:

Split the function into 'parts' as follows.

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

now expand ${\left(x + 2\right)}^{2} \text{ using FOIL or any method you use }$

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

we now have : $\left(x + 2\right) \left({x}^{2} + 4 x + 4\right)$

multiply each term in 2nd bracket by x , then +2

hence : ${x}^{3} + 4 {x}^{2} + 4 x + 2 {x}^{2} + 8 x + 8$

finally collect like terms : ${x}^{3} + 6 {x}^{2} + 12 x + 8$