Algebramedium · Past Paper

Factorize x^2 - y^2 + 2y - 1.

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

✓ Correct Answer: A(x-y+1)(x+y-1)

x^2 - (y^2 - 2y + 1) = x^2 - (y-1)^2 = (x - (y-1))(x + (y-1)).

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