Answer
$x^3+6x^2+12x+8$
Work Step by Step
$$(x+2)^3$$ $$=(x+2)(x+2)(x+2)$$ $$=(x+2)[(x\times x)+(x\times 2)+(2\times x)+(2\times 2)]$$ $$=(x+2)(x^2+2x+2x+4)$$ $$=(x+2)(x^2+4x+4)$$ $$=(x\times x^2)+(x\times 4x)+(x\times 4)+(2\times x^2)+(2\times 4x)+(2\times 4)$$ $$=x^3+4x^2+4x+2x^2+8x+8$$ $$=x^3+6x^2+12x+8$$
