Algebrahard · Past Paper
Factorize a^3 - 1/a^3.
A(a-1/a)(a^2+1+1/a^2)
B(a-1/a)(a^2-1+1/a^2)
C(a-1/a)^3
D(a+1/a)(a^2-1+1/a^2)
✓ Correct Answer: A — (a-1/a)(a^2+1+1/a^2)
Difference of cubes: a^3 - (1/a)^3 = (a-1/a)(a^2 + a(1/a) + (1/a)^2).
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