Algebrahard · Past Paper
Factorize x^2 - y^2 + 10yz - 25z^2.
A(x-y+5z)(x+y-5z)
B(x-y-5z)(x+y+5z)
C(x+y-5z)(x-y-5z)
D(x-y+5z)^2
✓ Correct Answer: A — (x-y+5z)(x+y-5z)
x^2 - (y^2 - 10yz + 25z^2) = x^2 - (y-5z)^2 = (x - (y-5z))(x + (y-5z)).
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