SarkariPYQ

SSC CHSL 2022 PYQ — Question 65

SSC CHSL - 24 May 2022 - Shift 1 • Quantitative Aptitude • Q65

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Simplify the expression:

(36p2 + 49q2) (6p + 7q) (6p - 7q)

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 1296p4p^4 - 2401q4q^4

Given:

(36p2 + 49q2) (6p + 7q) (6p - 7q)

Formula used:

a2 - b2 = (a + b)(a - b)               ---- (1)

Calculations:

⇒ (36p2 + 49q2) (6p + 7q) (6p - 7q)

⇒ (36p2 + 49q2)(36p2 - 49q2)

Using equation (1), we get

⇒ (36p2)2 - (49q2)2

⇒ 1296p4 - 2401q4