UI Post-UTME Mathematics 2025 (Model questions) Question 1

Question 1

Algebraic Expressions

If x + 1/x = 3, find the value of x3 + 1/x3

  1. A.18
  2. B.21
  3. C.27
  4. D.30
Show the answer and explanation

Answer: A (18)

Explanation

Cube both sides: x³ + 1/x³ + 3(x + 1/x) = 27, so x³ + 1/x³ = 27 − 3(3) = 18.