JAMB Mathematics 2008 Objective — Question 14

Question 14 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2008 Objective paper, with the correct answer and a full explanation.

Factorize completely (4x + 3y)^2 - (3x - 2y)^2

A. (x+5y)(7x+y)Correct
B. (x+5y)(7x-y)
C. (x-5y)(7x+y)
D. (x-5y)(7x-y)

Explanation

Using difference of two squares, a^2-b^2=(a+b)(a-b) where a=4x+3y, b=3x-2y: = [(4x+3y)+(3x-2y)][(4x+3y)-(3x-2y)] = (7x+y)(x+5y).

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