Question 1146014
(a)


{{{(2x)/((x-2)(x+5))=A/(x-2)+B/(x+5)}}}


{{{((x-2)(x+5))(2x)/((x-2)(x+5))=((x-2)(x+5))(A/(x-2)+B/(x+5))}}}


{{{2x=A(x+5)+B(x-2)}}}


{{{2x=Ax+5A+Bx-2B}}}


{{{2x=(A+B)x+(5A-2B)}}}


Follow the corresponding parts...

{{{system(2=A+B,5A-2B=0)}}}-------solve this system for A and B.


{{{system(A=2/3,B=4/3)}}}
(you can finish.)