Combining fractions with related denominators

Combining fractions with related denominators

Secondary 2
3 marks
TGM Original Questions

Express as a single fraction in its simplest form: \(\dfrac{t-2}{t^2-4}-\dfrac4{2-t}\). State the restrictions on the original expression.[3]

Solution:

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

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