SarkariPYQ

SSC CGL 2023 PYQ — Question 66

SSC CGL - 25 July 2023 - Shift 4 • Quantitative Aptitude • Q66

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Simplify the expression s2+t2+2st−u2s2−t2−2tu−u2\frac{s^2+t^2+2st-u^2}{s^2-t^2-2tu-u^2}, provided (s + t + u) ≠ 0.

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Correct answer: A

Explanation

The correct answer is option 1 i.e. s+t−us−t−u\frac{s+t-u}{s-t-u}.

Given, s2+t2+2st−u2s2−t2−2tu−u2\frac{s^2+t^2+2st-u^2}{s^2-t^2-2tu-u^2}

⇒ (s+t)2−u2s2−(t+u)2\frac{(s+t)^2-u^2}{s^2-(t + u)^2}

⇒ (s+t+u)(s+t−u)(s−t−u)(s+t+u)\frac{(s+t + u)(s + t-u)}{(s-t-u)(s + t+u)} = s+t−us−t−u\frac{s+t-u}{s-t-u}