Question

a-b/2a+2b-a^2 +b^2 /b^2 -a^2.

Answer 1

(a-b)/(2a+2b)-(a^2 +b^2) /(b^2 -a^2)

=(a-b)/(2a+2b)+(a^2 +b^2) /( a^2-b^2)

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

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

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

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

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