Question

( a + b ) ( a square + b square - ab) ; simplify

Answer 1

✮ Question : $\sf{\left(a+b\right)\left(a^2+b^2-ab\right)}$

✮ Answer :

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

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

$\sf{=a^2a+ab^2-aab+a^2b+b^2b-abb}$

$\sf{=a^3+ab^2-a^2b+a^2b+b^3-ab^2}$

$\sf{=a^3-a^2b+a^2b+ab^2-ab^2+b^3}$

$\sf{=a^3+ab^2-ab^2+b^3}$

$\bf{=a^3+b^3}$