SOLUTION: Write the partial fraction decomposition of the following rational expression. {{{ (8x^2+10x+20)/x(x+4)(x+5) }}}

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Question 1162547: Write the partial fraction decomposition of the following rational expression.

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!




Multiply by the least common denominator....




Equate coefficients:

(1)
(2)
(3)

Equation (3) immediately gives us A=1. Substituting in (1) and (2) gives us

(4)
(5)

Solve by elimination....





Then



ANSWER:




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