Question

The value of (1/2)³ + (1/3)³ - (5/6)³  is

A) 5/6

B) 5/12

C) -5/36

D) -5/12

Answer 1

Correct option is (D) -5/12

\((\frac{1}{2})^3+(\frac{1}{3})^3-(\frac{5}{6})^3\) \(=\frac18+\frac1{27}-\frac{125}{216}\)

\(=\frac{27+8-125}{216}\) \(=\frac{-90}{216}\)

\(=\frac{-90\div18}{216\div18}\) = \(\frac{-5}{12}\)

Answer 2

Correct option is  D) -5/12