Question

a cube plus b cube formula​

Answer 1

Answer:

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

Step-by-step explanation:

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

$a^{3}+b^{3}=\left(a+b\right)\left[\left(a+b\right)^{2}-3ab\right]$

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

$=\left(a+b\right)\left(a^{2}-ab+b^{2}\right)$