Question 118713
{{{(x+2)^3}}}
::expand
{{{(x+2)(x+2)(x+2)}}}
:: foil the first pair
{{{(x*x + 2*x + 2*x + 2*2)(x+2)}}}
:: simplify & combine like terms
{{{ (x^2 + 4x + 4) (x+2)}}}
:: now use the distributive property on these two factors
{{{ x^2*x + x^2 * 2 + 4x*x + 4x*2 + 4*x + 4*2 }}}
:::simplify
{{{x^3 + 2x^2 + 4x^2 + 8x + 4x + 8}}}
{{{x^3 + 6x^2 + 12x + 8}}}