Question 118714
{{{(x+1)^4}}} : expand
{{{(x+1)(x+1)(x+1)(x+1)}}}: first pair foiled
{{{(xx+1x+1x+1)(x+1)(x+1)}}}: simplify
{{{(x^2+2x+1)(x+1)(x+1)}}}: distributive property on first pair
{{{((x^2) x +x^2 + 2xx + 2x + 1x +1)(x+1)}}}: simplify
{{{(x^3 + x^2 + 2x^2 + 2x + x + 1) (x+1)}}}: combine like terms
{{{(x^3 + 3x^2 + 3x + 1) (x+1)}}}: now distributive property on last pair
{{{(x^3) x + x^3 + 3x^2 x + 3x^2 + 3x x + 3x + 1x + 1}}} : simplify
{{{x^4 + x^3 + 3x^3 + 3x^2 + 3x^2 +3x + 1x + 1}}} : combine like terms
{{{x^4 + 4x^3 + 6x^2 + 4x + 1}}}