Polynomials, Cubic Equations and Partial Fractions - Partial Fractions

Polynomials, Cubic Equations and Partial Fractions - Partial Fractions

TGM Original Questions

Express the following in partial fractions:

  1. \(\frac{3x+2}{{{\left( x+1 \right)}^{2}}}\)
  2. \(\frac{x}{{{\left( 2x-1 \right)}^{2}}}\)
  3. \(\frac{x}{{{\left( 1-3x \right)}^{2}}}\)

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Answer:(a) \(\frac{3}{x+1} - \frac{1}{(x+1)^2}\) (b) \(\frac{1}{2(2x-1)} + \frac{1}{2(2x-1)^2}\) (c) \(-\frac{1}{3(1-3x)} + \frac{1}{3(1-3x)^2}\)

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