(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 |