Algebrahard · Past Paper

Factorize x^2 - y^2 - z^2 + 2yz.

A(x-y+z)(x+y-z)
B(x+y+z)(x-y-z)
C(x-y-z)(x+y-z)
D(x-y+z)^2

✓ Correct Answer: A(x-y+z)(x+y-z)

x^2 - (y^2 - 2yz + z^2) = x^2 - (y-z)^2 = (x-(y-z))(x+(y-z)).

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