JAMB Mathematics 1980 Question 29

Question 29

Surds

Find the product of (2√y − 3y) and (3y + 2√y)

  1. A.4y + y2
  2. B.4y + 9y2
  3. C.4y − 9y2
  4. D.−4y − 9y2
  5. E.2y + y2.
Show the answer and explanation

Answer: C (4y − 9y2)

Explanation

This is (2√y − 3y)(2√y + 3y), a difference of two squares: (2√y)² − (3y)² = 4y − 9y².