Partial fraction of this expression?

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SUMMARY

The discussion focuses on the partial fraction decomposition of the expression f(t) = (t+1)/(t^2 + 8t + 16). The user successfully rewrites the denominator as (t+4)^2 and sets up the equation (t+1)/(t+4)^2 = K1/(t+4) + K2/(t+4)^2. The key breakthrough occurs when another participant suggests rewriting t+1 as t+4-3, which helps the original poster solve the problem.

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tinhnho
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hi everyone

i have a proplem with this exercise:
f(t)= (t+1)/(t^2 + 8t + 16)
Here what i started:

(t+1)/(t^2 + 8t + 16) = (t+1)/(t+4)^2

(t+1)/(t+4)^2 = K1/(t+4) + K2/(t+4)^2

i am stuck from here, anyone please help me, thanks first
 
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What are you trying to do??
Put this
[tex]\frac{t+1}{(t+4)^{2}}[/tex]

under this form:
[tex]\frac{A}{t+4}+\frac{B}{(t+4)^{2}}[/tex]

??

How about writing
[tex]t+1=t+4-3[/tex]

??

Daniel.
 
thanks, i got it
 

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