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Decompose rational expressions

Express each of the following in partial fractions.

(a) 4x2−4\dfrac4{x^2-4}

(b) x2−11(x+2)2(3x−1)\dfrac{x^2-11}{(x+2)^2(3x-1)}

(c) x4+1x3+2x\dfrac{x^4+1}{x^3+2x}

CJC · Discussion · Question 12

Factor each denominator, include every repeated-factor power, and divide any improper fraction first.

Read the worked solution