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aduceti la o forma mai simpla: (√a/√a-√b - √b/√a+√b)*a-b/a^2+ab

Răspuns :

 rationaliz numitorii

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

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

a+rad ab-rad ab +b)/a-b *a-b/a^2+ab=

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

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