Repeated Linear Factors in Denominator

Repeated Linear Factors in Denominator

IP 3

Express the following expressions in partial fractions:

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

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

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