JAMB Mathematics 1989 Question 18

Question 18

Algebraic Expressions

Simplify (324 − 4x2)/(2x + 18)

  1. A.2(x − 9)
  2. B.2(9 + x)
  3. C.81 − x2
  4. D.−2(x − 9)
Show the answer and explanation

Answer: D (−2(x − 9))

Explanation

324 − 4x² = (18 − 2x)(18 + 2x). Cancelling 2x + 18 leaves 18 − 2x = −2(x − 9).