SSC CHSL 2023 PYQ — Question 68

SSC CHSL - 09 Aug 2023 - Shift 3 • Quantitative Aptitude • Q68

Simplify the expression:

(c + d)2 - (c - d)2

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 4cd.

a2 - b2 = (a + b)(a - b)

Given, (c + d)2 - (c - d)2 

⇒ (c + d + c - d)(c + d - c + d)

⇒ 2c × 2d = 4cd