JAMB Mathematics 2021 Objective — Question 20

Question 20 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2021 Objective paper, with the correct answer and a full explanation.

20. Factorise 1 - (x - y)² (a) (1 - x - y)(1 - x + y) (b) (1 - x + y)(1 + x - y) (c) (1 - x + y)(1 + x + y) (d) (1 - x - y)(1 + x - y)

A. (1 - x - y)(1 - x + y)
B. (1 - x + y)(1 + x - y)Correct
C. (1 - x + y)(1 + x + y)
D. (1 - x - y)(1 + x - y)

Explanation

Using difference of two squares: 1² - (x-y)² = (1 - (x-y))(1 + (x-y)) = (1 - x + y)(1 + x - y).

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