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

May 24, 2018

Simplifying ${\left(x + 2\right)}^{3}$ is: ${x}^{3} + 6 {x}^{2} + 12 x + 8$

#### Explanation:

So since (x+2) is being times 3 times, we know that x has to be the third power. So we do two binomial at a time.

$\left(x + 2\right) \left(x + 2\right)$
x^2+2x+2x+4) ----> Using FOIL Method
${x}^{2} + 4 x + 4$ ------> Combining like terms

Now we multiply ${x}^{2} + 4 x + 4$ by (x+2) because we already did 2 binomials of $\left(x + 2\right)$ already so we need to use the third one of $\left(x + 2\right)$

$\left({x}^{2} + 4 x + 4\right) \left(x + 2\right)$
${x}^{3} + 2 {x}^{2} + 4 {x}^{2} + 8 x + 4 x + 8$ ---> Using Distributive Property

So our final answer when combining like term is:
${x}^{3} + 6 {x}^{2} + 12 x + 8$