4.25 Упростите выражение.
3) а+2√а+1/а-1 + 2√а/√а-1.
6)( √а+1/√а-1 - √а-1/√а+1 + 4√а) * ( √а/4 - 1/√4а).
3) а+2√а+1/а-1 + 2√а/√а-1.
6)( √а+1/√а-1 - √а-1/√а+1 + 4√а) * ( √а/4 - 1/√4а).
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Объяснение:
(а+2√(а+1))/(а-1) +(2√а)/(√а-1)=(а+2√(а+1))/((√a -1)(√a +1)) +(2√а)/(√а-1)=(а+2√(а+1)+2√a ·(√a +1))/(a-1)=(a+√(4(a+1))+2a+2√a)/(a-1)=(3a+√(4a+4)+√4a)/(a-1)