WAEC - Mathematics (2017 - No. 26)
Simplify the expression \(\frac{a^2 b^4 - b^2 a^4}{ab(a + b)}\)
\(a^2 - b^2\)
\(b^2 - a^2\)
\(a^2b - ab^2\)
\(ab^2 - a^2b\)
Forklaring
\(\frac{a^2 b^4 - b^2 a^4}{ab(a + b)}\) = \(\frac{a^2 b^2(b^2 - a^2)}{ab(a + b)}\)
= \(\frac{ab [(b - a) (b + a)]}{a + b}\)
= ab(b - a)
= \(ab^2 - a^2b\)