Question

utilizando as regras dos produtos notaveis;calcule (a+b)3

Answer 1

$\left(a+b \right )^{3}=\left(a+b\right)^{2}\cdot \left(a+b \right )\\ \\ =\left(a^{2}+2ab+b^{2} \right )\cdot \left(a+b \right )\\ \\ =a^{2}\cdot \left(a+b \right )+2ab\cdot \left(a+b \right )+b^{2}\cdot \left(a+b \right )\\ \\ =a^{3}+a^{2}b+2a^{2}b+2ab^{2}+ab^{2}+b^{3}\\ \\ =\boxed{a^{3}+3a^{2}b+3ab^{2}+b^{3}}$