(a-b)(a^2ab+b^2)
Input |
---|
(a – b) (a^2 a b + b^2) |
Result |
(a – b) (a^3 b + b^2) |
Expanded form |
a^4 b – a^3 b^2 + a b^2 – b^3 |
Alternate form assuming a and b are positive |
b (a^4 – a^3 b + a b – b^2) |
Real root |
b = 0 |
Polynomial discriminant |
Delta_a = -27 b^6 (b^4 + b^2)^2 |
Property as a function |
odd |
Derivative |
(d)/(da)((a – b) (a^2 a b + b^2)) = b (4 a^3 – 3 a^2 b + b) |
Indefinite integral |
integral (a – b) (a^3 b + b^2) da = b (a^5/5 – (a^4 b)/4 + (a^2 b)/2 – a b^2) + constant |