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: \(\dfrac5{(2p-1)(p+3)}-\dfrac2{(p+3)(4p-2)}\). State the restrictions on the original expression.[3]

Solution:

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Answer:\(\dfrac{4}{\left(p + 3\right) \left(2 p - 1\right)}\) where \(p + 3\ne0,\ 2 p - 1\ne0\)

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