WAEC Mathematics 2017 Objective — Question 37

Question 37 of 50 from the West African Examinations Council (WAEC) Mathematics 2017 Objective paper, with the correct answer and a full explanation.

Simplify the expression (a^2b^4-b^2a^4)/(ab(a+b))

A. A. a^2-b^2
B. B. b^2-a^2
C. C. a^2b-ab^2
D. D. ab^2-a^2bCorrect

Explanation

Numerator = a^2b^2(b^2-a^2)... factorising as a difference of two squares and simplifying the ratio to ab(a+b) in the denominator gives ab(b-a) = ab^2-a^2b.

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