Question

упростите выражение (a^2/a+n-a^2/a^2+n^2+2an):(a^2/a+n-a^2/a^2+n^2)

Answer 1

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

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