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Simplify, then solve

Simplify, then solve

Secondary 2
4 marks
TGM Original Questions

Optional extension

  1. Simplify \(\dfrac{16y^3-y}{(4y+1)(4y-3)}\).[2]
  2. Hence solve \(\dfrac{16y^3-y}{(4y+1)(4y-3)}=2y+1\), stating excluded values.[2]

Solution:

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Answer:(a) \(\dfrac{y(4y-1)}{4y-3}\) (b) \(y=1,-\dfrac34\), with \(y\ne-\dfrac14,\dfrac34\).

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