Question

Simplify: $(a+b{)}^3$

Answer 1

$(a+b{)}^3$

$\Rightarrow (a+b)(a+b)(a+b)\left[\right(a+b\left)\right(a+b)=a^2+2ab+b^2$ or $(a+b{)}^2]$

$=(a+b{)}^2(a+b)$

$=(a^2+2ab+b^2)(a+b)$

$=a^3+a^{2}b+2a^{2}b+2a{b}^2+a{b}^2+b^3$

$=a^3+b^3+3a^{2}b+3a{b}^2$

$=a^3+b^3+3ab(a+b)$