Advanced simplifying and combining

Advanced simplifying and combining

Secondary 2
3 marks
TGM Original Questions

Simplify \(\dfrac{a+2}{a^2-5a-14}\div\dfrac{8a^2-4a-4}{2a^2-11a-21}\). State the restrictions on the original expression.[3]

Solution:

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Answer:\(\dfrac{2 a + 3}{4 \left(a - 1\right) \left(2 a + 1\right)}\) where \(a - 7\ne0,\ a + 2\ne0,\ a - 1\ne0,\ 2 a + 1\ne0,\ 2 a + 3\ne0\)

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