# Partial Fractions

• March 5th 2008, 07:24 AM
ramzouzy
Partial Fractions
$s+9/((s^2)-14s+49)$ can be factored as (s+9)/(s-7)(s-7)..
however i could not write that as partial fractions such that

$(s+9)/(s-7)^2=A(s-7)+B(s-7)$

I do not know how to get A and B... plz someone help me approach this type of problem
• March 5th 2008, 07:40 AM
Krizalid
$\frac{{s + 9}}
{{(s - 7)^2 }} = \frac{{(s - 7) + 16}}
{{(s - 7)^2 }} = \frac{1}
{{s - 7}} + \frac{{16}}
{{(s - 7)^2 }}.$