Algebrahard · Past Paper
Factorize x^8 - y^8.
A(x-y)(x+y)(x^2+y^2)(x^4+y^4)
B(x^4-y^4)^2
C(x-y)^8
D(x+y)^8
✓ Correct Answer: A — (x-y)(x+y)(x^2+y^2)(x^4+y^4)
Successive application of difference of squares: (x^4-y^4)(x^4+y^4) = (x^2-y^2)(x^2+y^2)(x^4+y^4)...
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