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

${x}^{3} + 6 {x}^{2} + 12 x + 8$
We know that ${\left(a + b\right)}^{3} = {a}^{3} + 3 {a}^{2} b + 3 a {b}^{2} + {b}^{3}$
In this case, $a = 2$ and $b = x$
${2}^{3} + 3 \left({2}^{2}\right) \left(x\right) + 3 \left(2\right) \left({x}^{2}\right) + {x}^{3}$
$8 + 12 x + 6 {x}^{2} + {x}^{3}$