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ramzilyagaf
@ramzilyagaf
August 2022
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CornStone
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Вот так упрощается ваше выражение
2 votes
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sedinalana
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(a√a+b√b)/(√a+√b)(a-b)+2√b/(√a+√b)-√(ab)/(a-b)=
=(a√a+b√b+2a√b-2b√b-a√b-b√a)/(√a+√b)(a-b)=
=(a√a+a√b-b√b-b√a)/(√a=√b)(a-b)=[a(√a+√b)-b(√a+√b)]/(√a+√b)(a-b)=
=(√a+√b)(a-b)/(√a+√b)(a-b)=1
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Вот так упрощается ваше выражениеVerified answer
(a√a+b√b)/(√a+√b)(a-b)+2√b/(√a+√b)-√(ab)/(a-b)==(a√a+b√b+2a√b-2b√b-a√b-b√a)/(√a+√b)(a-b)=
=(a√a+a√b-b√b-b√a)/(√a=√b)(a-b)=[a(√a+√b)-b(√a+√b)]/(√a+√b)(a-b)=
=(√a+√b)(a-b)/(√a+√b)(a-b)=1