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Resolve\[\frac{x}{(x+1)^{2}(x+2)}\] |
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Answer» If you are talking about partial fraction function. Let \(\frac x{(x+1)^2(x+2)}\) = \(\frac A{x+1}+\frac B{(x+1)^2}+\frac C{x+2}\) ⇒ x = A (x+1) (x+2) + B (x+2) + C (x+1)2 put x = -1, we get B = -1 put x = -2, we get C = -2 put x = 0, we get 2A+2B+C = 0 ⇒ 2A = -C - 2B = 2+2 = 4 ⇒ A = 4/2 = 2 ∴ \(\frac x{(x+1)^2(x+2)}\) = \(\frac2{x+1}-\frac1{(x+1)^2}-\frac2{x+2}\) |
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