Question

If \[ x=4+\frac{1}{4}+\frac{2}{4^2}, \] then \(x^3-12x^2+36x=\)

• A. 24
• B. 30
• C. 36
• D. 32

Hint:

Whenever expressions of the form \[ x^3-3ax^2+3a^2x \] appear, try rewriting them using the identity \[ (x-a)^3=x^3-3ax^2+3a^2x-a^3. \]

Answer 1

The Correct Option is C