Algebramedium · Past Paper
Factorize: x^2 + 1/x^2 + 2.
A(x + 1/x)^2
B(x - 1/x)^2
C(x^2 + 1)^2
Dx^2 + 1
✓ Correct Answer: A — (x + 1/x)^2
This is in the form a^2 + b^2 + 2ab where a=x and b=1/x, so 2ab = 2(x)(1/x) = 2.
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✓ Correct Answer: A — (x + 1/x)^2
This is in the form a^2 + b^2 + 2ab where a=x and b=1/x, so 2ab = 2(x)(1/x) = 2.
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