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Intermediate · 3. Algebraic identities and integer domains

Look for factorisations, ways to eliminate variables and telescoping products (in which most factors cancel); check signs, denominators and whether the answers must be integers, instead of stopping at the first solution.

AMC Australia · Intermediate · Selected Topics

Recognise the clues and choose a suitable method.

Explain each step in the five examples.

Solve real competition problems and spot the mistakes you need to fix.

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