#p=((8ab)/(a+b))#
Substitute this inside,
#(((8ab)/(a+b))+4a)/(((8ab)/(a+b))-4a) + (((8ab)/(a+b))+4b)/(((8ab)/(a+b))-4b)#
Simplify,
#((8ab)/(a+b)+(4a^2+4ab)/(a+b))/((8ab)/(a+b)-(4a^2+4ab)/(a+b)) + ((8ab)/(a+b)+(4b^2+4ab)/(a+b))/((8ab)/(a+b)-(4b^2+4ab)/(a+b))#
Combine,
#((8ab+4a^2+4ab)/cancel(a+b))/((8ab-4a^2-4ab)/cancel(a+b)) + ((8ab+4b^2+4ab)/cancel(a+b))/((8ab-4b^2-4ab)/cancel(a+b))#
Cancel common denominator,
#(8ab+4a^2+4ab)/(8ab-4a^2-4ab) + (8ab+4b^2+4ab)/(8ab-4b^2-4ab)#
Simplify,
#(4a^2+12ab)/(-4a^2+4ab) + (4b^2+12ab)/(-4b^2+4ab)#
Factor,
#(cancel(4a)(a+3b))/(cancel(4a)(-a+b)) + (cancel(4b)(b+3a))/(cancel(4b)(-b+a)#
Simplify,
#(a+3b)/(b-a) + (b+3a)/(a-b)#
Common denominator,
#(a+3b)/(b-a) - (b+3a)/(b-a)#
Combine,
#(a+3b-b-3a)/(b-a)#
Simplify,
#(2b-2a)/(b-a)#
Factor,
#(2cancel((b-a)))/cancel(b-a)#
Hence,
#2# :D
