Simplify the expression \(\frac{a^2 b^4 – b^2 a^4}{ab(a + b)}\)
- \(a^2 - b^2\)
- \(b^2 - a^2\)
- \(a^2b - ab^2\)
-
\(ab^2 - a^2b\)
The correct answer is: D
Explanation
\(\frac{a^2 b^4 - b^2 a^4}{ab(a + b)}\) = \(\frac{a^2 b^2(b^2 - a^2)}{ab(a + b)}\)
= \(\frac{ab [(b - a) (b + a)]}{a + b}\)
= ab(b - a)
= \(ab^2 - a^2b\)