Three-term rational expressions

Three-term rational expressions

Secondary 2
3 marks
TGM Original Questions

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

Solution:

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Answer:\(\dfrac{y + 3}{\left(y - 1\right) \left(y + 1\right) \left(y + 4\right)}\) where \(y - 1\ne0,\ y + 4\ne0,\ y + 1\ne0\)

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