Complex factor cancellation

Complex factor cancellation

Secondary 2
3 marks
TGM Original Questions

Core stretch

Simplify \(\dfrac{3x-9}{x^2-6x+9}\times\dfrac{x^2+x-6}{2-x}\div(x+3)\). State the restrictions on the original expression.[3]

Solution:

Solution locked

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Answer:\(- \dfrac{3}{x - 3}\) where \(x - 3\ne0,\ x - 2\ne0,\ x + 3\ne0\)

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