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Multiply and Divide Rational Expressions

CAS Simplification

Try: Simplify[(x^2 - 4)/(x + 2)] Then: Simplify[((x^2 - 4)/(x + 2)) * (x + 2)/(x + 3)]

Why does the result simplify this way? What terms cancel?

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Try some Non-Trivial Factorizations

Simplify[((x^2 + 5x + 6)/(x^2 - 1)) * ((x - 1)/(x + 2))]

How does CAS handle common factors? Could this be used to verify student work?