Three-term rational expressions

Three-term rational expressions

Secondary 2
3 marks
TGM Original Questions

Express as a single fraction in its simplest form: \(\dfrac3{2+5x}+\dfrac4{4-25x^2}-\dfrac1{5x-2}\). State the restrictions on the original expression.[3]

Solution:

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Answer:\(\dfrac{2 \left(5 x - 6\right)}{\left(5 x - 2\right) \left(5 x + 2\right)}\) where \(5 x + 2\ne0,\ 5 x - 2\ne0\)

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