Algebrahard · Past Paper
Factorize x^2 - 4x + 4 - y^2 - 6y - 9.
A(x-y-5)(x+y+1)
B(x-y-1)(x+y-5)
C(x-2-y-3)(x-2+y+3)
D(x-y+1)(x+y-5)
✓ Correct Answer: C — (x-2-y-3)(x-2+y+3)
(x-2)^2 - (y+3)^2 = ((x-2)-(y+3))((x-2)+(y+3)) = (x-y-5)(x+y+1).
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