Partial fraction of this expression?

AI Thread Summary
The discussion revolves around solving the partial fraction decomposition of the expression f(t) = (t+1)/(t^2 + 8t + 16). The user initially rewrites the denominator as (t+4)^2 and sets up the equation for partial fractions. They encounter difficulty in progressing from this point. Another participant suggests rewriting the numerator as t + 4 - 3 to simplify the decomposition. The original poster confirms that this approach helped them resolve their issue.
tinhnho
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hi everyone

i have a proplem with this excercise:
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
\frac{t+1}{(t+4)^{2}}

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

??

How about writing
t+1=t+4-3

??

Daniel.
 
thanks, i got it
 
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