SOLUTION: Write the partial decomposition for the rational expression. (3x)/(x-3)^2

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Question 636547: Write the partial decomposition for the rational expression.
(3x)/(x-3)^2
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Write the partial decomposition for the rational expression.
(3x)/(x-3)^2
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%283x%29%2F%28x-3%29%5E2+=+A%2F%28x-3%29+%2B+B%2F%28x-3%29%5E2
3x%2F%28x-3%29%5E2+=+%28A%28x-3%29+%2B+B%29%2F%28x-3%29%5E2
3x + 0 = Ax - 3A+B
A = 3
B = 9
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%283x%29%2F%28x-3%29%5E2+=+3%2F%28x-3%29+%2B+9%2F%28x-3%29%5E2