Three-term rational expressions

Three-term rational expressions

Secondary 2
3 marks
TGM Original Questions

Express as a single fraction in its simplest form: \(\dfrac1{3x-2}+\dfrac2{4-9x^2}\). State the restrictions on the original expression.[3]

Solution:

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

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