SSC CGL 2020 PYQ — Question 75

SSC CGL - 3rd March 2020 Shift 3 • Quantitative Aptitude • Q75

The value of 27a3 – 2√(2b3) is equal to:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e (3a - √2b) (9a2 + 2b2 + 3√(2 ab)).

Understanding/Application

27a3 – 2√2b3

x = 3a, and y = (√2b) 

x3 - y3 = (x - y) (x2 + xy + y2)

(3a)3 - (√2b)3 = (3a - √2b) (9a2 + 2b2 + 3√(2ab))