Algebramedium · Past Paper
Factorize: x^2 - y^2 - 2yz - z^2
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)(x-y+z)
✓ Correct Answer: C — (x+y-z)(x-y-z)
x^2 - (y^2 + 2yz + z^2) = x^2 - (y+z)^2 = (x - (y+z))(x + (y+z)) = (x-y-z)(x+y+z).
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