Question

1) a³-a²b+ab²-b³= ?
2) x²-b²-ax-ab= ?

Answer 1

$a^3-a^2b+ab^2-b^3=(a^3-a^2b)+(ab^2-b^3)=\ =a^2(a-b)+b^2(a-b)=(a-b)(a^2+b^2)\\\ x^2-b^2-ax-ab=(x^2-b^2)-(ax+ab)=\ =(x-b)(x+b)-a(x+b)=(x+b)(x-b-a)$