Advanced simplifying and combining

Advanced simplifying and combining

Secondary 2
3 marks
TGM Original Questions

Express as a single fraction in its simplest form: \(\dfrac{12x}{x^2-9}-\dfrac5{3-x}\). State the restrictions on the original expression.[3]

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Answer:\(\dfrac{17 x + 15}{\left(x - 3\right) \left(x + 3\right)}\) where \(x - 3\ne0,\ x + 3\ne0\)

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