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SSC CHSL 2023 PYQ — Question 71

SSC CHSL - 10 Aug 2023 - Shift 4 • Quantitative Aptitude • Q71

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Simplify the given expression.

(x3−y3)(x+y)x2+xy+y2(x^3-y^3)(x+y)\over x²+xy+y²

 

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Correct answer: B

Explanation

The correct answer is option 2 i.e. x2 - y2.

(x3−y3)(x+y)x2+xy+y2\frac{(x^3 - y^3)(x+y)}{x^2 + xy + y^2}

=(x−y)(x2+xz+z2)(x+y)(x2+xy+y2)=\frac{(x - y)(x^2 + xz + z^2)(x+y)}{(x^2 + xy + y^2)}

= (x - y)(x + y)

= x2 - y2

Hence, the value of the expression is x2 - y2.