Math Analysis
posted by Mary on .
Find two rational expressions that have a sum of 99x/x^29
I need steps not just answers

First, I assume you mean (99x)/(x^29)?

Making the same assumption as Ryan
9[(1x)]/(x3)(x+3)=9[a/(x3)+b/(x+3)]
a(x+3) + b(x3) = 1x
a+b=1
3a3b=1
solve and get a =1/3, b=2/3
so
9 [(1/3)/(x3) (2/3)/(x+3)]
= 3/(x3) 6/(x+3) 
If my assumption is true, you could simply use 9/(x^29) + 9x/(x^2+9), as these are both rational expressions, I think.