Distinct Linear Factors in the Denominator

Distinct Linear Factors in the Denominator

IP 3

Express the following expressions in partial fractions:

  1. \(\frac{3x+1}{(x-2)(x+5)}\)
  2. \(\frac{2x-1}{\left( 2x+3 \right)\left( x-1 \right)}\)
  3. \(\frac{1-2x}{{{x}^{2}}-25}\)

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Answer:(a) \(\frac{1}{x-2}+\frac{2}{x+5}\) (b) \(\frac{8}{5(2x+3)}+\frac{1}{5(x-1)}\) (c) \(-\frac{9}{10(x-5)}-\frac{11}{10(x+5)}\)

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