Complex factor cancellation

Complex factor cancellation

Secondary 2
3 marks
TGM Original Questions

Core stretch

Simplify \(\dfrac{2p^2-7p+3}{1-\dfrac1{1+\dfrac1{p-1}}}\). State the restrictions on the original expression.[3]

Solution:

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Answer:\(p \left(p - 3\right) \left(2 p - 1\right)\) where \(p\ne0,\ p - 1\ne0\)

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