Algebrahard · Past Paper
Factorize a^4 + 1/a^4 + 1.
A(a^2 + 1/a^2 + 1)(a^2 + 1/a^2 - 1)
B(a^2 + 1/a^2 + 1)^2
C(a^2 - 1/a^2 + 1)(a^2 + 1/a^2 - 1)
D(a^2 + 1/a^2)^2 - 1
✓ Correct Answer: A — (a^2 + 1/a^2 + 1)(a^2 + 1/a^2 - 1)
(a^2 + 1/a^2)^2 - 2 + 1 = (a^2 + 1/a^2)^2 - 1^2.
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