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JAMB Mathematics 1984 Question 31

Question 31

Algebraic Expressions

Simplify (1 + (x − 1)/(1/(x + 1)))(x + 2)

  1. A.(x2 − 1)(x + 2)
  2. B.x2(x + 2)/(x + 1)
  3. C.x2(x + 2)
  4. D.2x(x + 2)
  5. E.2x(x + 2)/(x + 1)
Show the answer and explanation

Answer: C (x2(x + 2))

Explanation

Dividing by 1/(x + 1) multiplies by (x + 1): 1 + (x − 1)(x + 1) = 1 + x² − 1 = x². So the expression is x²(x + 2).