Question

Simplify (a+b)^3 step-by-step ​

Answer 1

Answer :-

$\sf (a + b)^3 = (a+b)(a+b)(a+b)$

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

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

$\sf = a^3 + b^3 + 2ab \times a + 2ab \times b$

$\sf = a^3 + b^3 + 2a^2b + 2b^2$

$\sf = a^3 + b^3 + 2ab(a + b)$

$\boxed{\tt (a + b)^3 = a^3 + b^3 + 2ab(a + b)}$