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
SSC CHSL - 09 Aug 2023 - Shift 3 • Quantitative Aptitude • Q68
Simplify the expression:
(c + d)2 - (c - d)2
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