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: \(\dfrac6{(3x+2)(x-3)}-\dfrac4{3-x}\). State the restrictions on the original expression.[3]

Solution:

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Answer:\(\dfrac{2 \left(6 x + 7\right)}{\left(x - 3\right) \left(3 x + 2\right)}\) where \(x - 3\ne0,\ 3 x + 2\ne0\)

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