[(a+b)/(a-b)]^2[(2a-2b)/(3a+3b)]-[a^2/(a^2-b^2)]/(a/b)
=2(a-b)(a+b)^2/[3(a+b)(a-b)^2]-a^2b/[a(a^2-b^2)]
=2(a+b)^2/[3(a+b)(a-b)]-3ab/[3(a+b)(a-b)]
=(2a^2+2b^2+4ab-3ab)/[3(a+b)(a-b)]
=(2a^2-ab+2b^2)/[3(a+b)(a-b)]
[(a+b)/(a-b)]^2[(2a-2b)/(3a+3b)]-[a^2/(a^2-b^2)]/(a/b)
=2(a-b)(a+b)^2/[3(a+b)(a-b)^2]-a^2b/[a(a^2-b^2)]
=2(a+b)^2/[3(a+b)(a-b)]-3ab/[3(a+b)(a-b)]
=(2a^2+2b^2+4ab-3ab)/[3(a+b)(a-b)]
=(2a^2-ab+2b^2)/[3(a+b)(a-b)]