Question

Упростите выражение: (a/b+b/a)*1/(a+b)^2-2ab

Answer 1

$( frac{a}{b} + frac{b}{a})( frac{1}{(a+b)^{2}-2ab } ) = frac{a^{2}+b^{2} }{ab}* ( frac{1}{a^{2}+2ab+b^{2}-2ab } )=frac{a^{2}+b^{2} }{ab}*( frac{1}{a^{2}+b^{2} } )= frac{1}{ab}$