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Question

Quantitative Aptitude Question on Algebraic Identities

If x=a2+1 and y=a2−a+1x=a^2+1\ \text{and} \ y=a^2-a+1, then find the value of x3−y3−xy2+x2y(x+y)2\frac{x^3-y^3-xy^2+x^2y}{(x+y)^2}

A

a-1

B

a2+1

C

a

D

a2+a

Answer

a

Explanation

Solution

The correct option is (C): a