SSC CGL 2020 PYQ — Question 73

SSC CGL - 5th March 2020 Shift 3 • Quantitative Aptitude • Q73

(a + b + c - d)2 - (a - b - c + d)2 = ?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e 4a(b + c - d).

Understanding/Application

(a + b + c - d)2 - (a - b - c + d)2

= [(a + b + c - d) - (a - b - c + d)] [(a + b + c - d) + (a - b - c + d)] 

= 2a(2b + 2c - 2d)

= 4a(b + c - d)