WAEC Mathematics 2019 Objective — Question 32

Question 32 of 145 from the West African Examinations Council (WAEC) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

32. Factorise completely: (2x+2y)(x-y) + (2x-2y)(x+y)

A. 4(x-y)(x+y)
B. 4(x-y)Correct
C. 2(x-y)(x+y)
D. 2(x-y)(x+y)

Explanation

Expanding: (2x²−2xy+2xy−2y²)+(2x²+2xy−2xy−2y²) = (2x²−2y²)+(2x²−2y²) = 4x²−4y² = (2x)²−(2y)² = (2x+2y)(2x−2y) = 4(x+y)(x−y).

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