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