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AIMO 2021 Secondary 3 — Preliminary (Open Trial 1) Question 13

AIMO · AIMO 2021 Secondary 3 — Preliminary (Open Trial 1)

Question 13

Simplify $P=\frac{2x+1}{x+2}+\frac{x^2-4}{x^2+x-2}+\frac1{1-x}$.

Original printed choices: A: $\frac{x+1}{x+2}$; B: $\frac{x-1}{x+2}$; C: $\frac{x-1}{x-2}$; D: $\frac{x+1}{x-2}$.

Editorial format: answer directly; the printed choices are retained for source fidelity. See the solution for the source issue.