Simplify the expression (frac{a^2 b^4 – b^2 a^4}{ab(a + b)})
-
A.
(a^2 – b^2) -
B.
(b^2 – a^2) -
C.
(a^2b – ab^2) -
D.
(ab^2 – a^2b)
Explanation
(frac{a^2 b^4 – b^2 a^4}{ab(a + b)}) = (frac{a^2 b^24(b^2 – a^2}{ab(a + b)})
= (frac{ab [(b – a) (b + a)]}{a + b})
= ab(b – a)
= (ab^2 – a^2b)