Question 1103938
{{{(6x-10)/((3x+5)(x+1))}}}

-

{{{A/(3x+5)+B/(x+1)=(6x-10)/((3x+5)(x+1))}}}


{{{(3x+5)(x+1)(A/(3x+5)+B/(x+1))=6x-10}}}


Can you continue from there?


.
.
You should be finding {{{(A+3B)x+(A+5B)=6x-10}}}
and then equate the corresponding coefficients.


{{{system(A+3B=6,A+5B=-10)}}}
Solve this system for A and B.