passwella.
Menu

JAMB Mathematics 1990 Question 16

Question 16

Algebraic Expressions

Factorize 9(x + y)2 − 4(x − y)2

  1. A.(x + y)(5x + y)
  2. B.(x + y)2
  3. C.(x + 5y)(5x + y)
  4. D.5(x + y)2
Show the answer and explanation

Answer: C ((x + 5y)(5x + y))

Explanation

It is a difference of two squares: [3(x + y) − 2(x − y)][3(x + y) + 2(x − y)] = (x + 5y)(5x + y).