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SSC CHSL 2023 PYQ — Question 69

SSC CHSL - 11 Aug 2023 - Shift 1 • Quantitative Aptitude • Q69

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Simplify 36a2−49b26a+7b\frac{36a^2 - 49b^2}{6a + 7b} .

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 6a - 7b.

⇒ (36a2 − 49b2) / (6a + 7b)

⇒ 36a2 − 49b2 = (6a)² − (7b)2 = (6a − 7b)(6a + 7b)

⇒ (36a2 − 49b2) / (6a + 7b)

= (6a − 7b)(6a + 7b) / (6a + 7b)

= 6a − 7b