2023 ACSBR AM S3 EOY Q8

2023 ACSBR AM S3 EOY Q8

Secondary 3
6 marks
  1. Given that \(64x^3 - 27y^3 = (4x - 3y)(16x^2 + axy + 9y^2)\), state the value of \(a\).[1]
  2. Express \(\frac{7x^2 + x + 15}{x(x^2 + 3)}\) in partial fractions.[5]

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Answer:(a) \(a=12\) (b) \(\dfrac5x+\dfrac{2x+1}{x^2+3}\)

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