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WAEC Mathematics 2023 Objective — Question 8

Question 8 of 50 from the West African Examinations Council (WAEC) Mathematics 2023 Objective paper, with the correct answer and a full explanation.

Factorize completely: x²-(y+z)².

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

Explanation

Using difference of two squares: x²-(y+z)²=[x-(y+z)][x+(y+z)]=(x-y-z)(x+y+z).

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