Simplify the expression \(\frac{a^2 b^4 - b^2 a^4}{ab(a + b)}\)
MATHEMATICS
WAEC 2017
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. \(ab^2 - a^2b\)
Correct Answer: 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)
= \(ab^2 - a^2b\)
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