SSC CGL 2017 PYQ — Question 68

SSC CGL Tier II Quant - 12/01/2017 • Quantitative Aptitude • Q68

If x = y + z then x3 – y3 – z3 is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 3xyz

Understanding

Application

We have:

If (x + y + z) = 0,

Then,

x3 + y3 + z3 = 3xyz

Given:

x = y – z

⇒ (x – y – z) = 0

Then,

x3 – y3 – z3 = 3xyz