Question

Split into partial fractions....

5(1+s)/s(s^2+6s+5)

Answer 1

so i know the denominator factors into s(s+3)(s+2)

Answer 2

good what is next ?

Answer 3

i have to split it up in 3 different fractions?

Answer 4

A, B, and C?

Answer 5

yes

Answer 6

so ill have A/s + B/(s+3) + C/(s+2) ?

Answer 7

yes!

Answer 8

yay!

Answer 9

so this is where i get mixed up so hold on lol

Answer 10

so then i set A+B+C=5(1+s)?

Answer 11

or cross multiply first?

Answer 12

now you should multiply both sides by s(s+3)(s+2)

Answer 13

we gotta get common denominator right

Answer 14

how can A+b +c equal that otherwise

Answer 15

so like A (s(s+3)(s+2))?

Answer 16

A(s(s+3)(s+2))/s + B(s(s+3)(s+2))/(s+3) + C(s(s+3)(s+2))/(s+2) = 5(1+s)