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SSC CHSL 2023 PYQ — Question 52

SSC CHSL 2023 - 02 Aug 2023 - Shift 4 • Quantitative Aptitude • Q52

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Find the value of the expression  x2−1x−1−x2−9x−3 \frac {x^2-1}{x-1} - \frac {x^2-9}{x-3}

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Correct answer: B

Explanation

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

Given that

x2−1x−1−x2−9x−3 \frac {x^2-1}{x-1} - \frac {x^2-9}{x-3}

⇒ x2−1x−1−x2−9x−3 \frac {x^2-1}{x-1} - \frac {x^2-9}{x-3}

⇒ (x+1)(x−1)x−1−(x+3)(x−3)x−3 \frac {(x +1)(x-1)}{x-1} - \frac {(x+3)(x-3)}{x-3}

⇒ x + 1 - x - 3

⇒ -2