Algebrahard · Past Paper
Factorize: x^8 - 1
A(x-1)(x+1)(x^2+1)(x^4+1)
B(x^4-1)(x^4+1)
C(x-1)^8
D(x+1)^8
✓ Correct Answer: A — (x-1)(x+1)(x^2+1)(x^4+1)
Successive application of a^2-b^2: (x^4-1)(x^4+1) = (x^2-1)(x^2+1)(x^4+1) = (x-1)(x+1)(x^2+1)(x^4+1).
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