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: \(\dfrac{3x}{x^2-2x-8}-\dfrac5{4-x}\). State the restrictions on the original expression.[3]

Solution:

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Answer:\(\dfrac{2 \left(4 x + 5\right)}{\left(x - 4\right) \left(x + 2\right)}\) where \(x - 4\ne0,\ x + 2\ne0\)

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