Factorised multiplication and division

Factorised multiplication and division

Secondary 2
3 marks
TGM Original Questions

Simplify \(\dfrac{8k^2+2k-3}{16k^2-9}\div\dfrac{2k^2-k}{4k}\). State the restrictions on the original expression.[3]

Solution:

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

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