Question 37
Algebraic ExpressionsSimplify the expression (a2b4 − b2a4)/(ab(a + b)).
- A.a2 − b2
- B.b2 − a2
- C.a2b − ab2
- D.ab2 − a2b
Show the answer and explanation
Answer: D (ab2 − a2b)
Explanation
Numerator = a²b²(b² − a²) = a²b²(b − a)(b + a). Dividing by ab(a + b) leaves ab(b − a) = ab² − a²b.