Simplify the expression a²\;b^4\;-\;b²\;a^4/ab(a\;+\;b)

Correct Answer is : ab2−a2bab² - a²bab2−a2b

Correct Answer is : ab2−a2bab² - a²bab2−a2b

Test Index

WAEC Mathematics 2017 Paper

Question : 26

Total: 49

\frac{a^2\;b^4\;-\;b^2\;a^4}{ab(a\;+\;b)}

Solution:

$\frac{a^2\;b^4\;-\;b^2\;a^4}{ab(a\;+\;b)}$ = $\frac{a^2\;b^{24}(b^2\;-\;a^2)}{ab(a\;+\;b)}$

= $\frac{ab\;[(b\;-\;a)\;(b\;+\;a)]}{a\;+\;b}$

= ab(b - a)

= $ab^2 - a^2b$

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