If x + 1/(x + 2) = 6, then determine the value of (x + 2)³ + 1/(x + 2)³.
Show answer & explanation
Correct answer: A
Explanation
x + 1/(x+2) = 6
Let y = x + 2
x = y − 2
(y − 2) + 1/y = 6
y + 1/y = 8
y³ + 1/y³ = 8³ − 3×8
= 512 − 24
= 488
SSC Selection Post 2025 PYQ — Question 36
SSC Selection Post - Graduation Level - 26th July 2025 - Shift 3 • Quantitative Aptitude • Q36