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)

Use a^3-b^3 where b = 1/a. a*b = a*(1/a) = 1.

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