Advanced fraction and index simplification
Advanced fraction and index simplification
Secondary 2
3 marks
TGM Original Questions
Express as a single fraction in its simplest form: \(\dfrac{x-3}{x^2-6x+9}-\dfrac1{x+3}+\dfrac4{9-x^2}\). State the restrictions on the original expression.[3]
Solution:
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Answer:\(\dfrac{2}{\left(x - 3\right) \left(x + 3\right)}\) where \(x - 3\ne0,\ x + 3\ne0\)
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