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nosovadascha20
@nosovadascha20
July 2022
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Упростить выражения, пожалуйста , срочно надо, заранее спасибо
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TARTILLO
Verified answer
[(a-6)/(a²+4a-12) - 18/(36-a²)]·[a/(a²-4)]^(-1)=
=[(a-6)/((a+6)(a-2)) -18/((6-a)(6+a))]·[a/((a-2)(a+2))]^(-1)=
=[(a-6)(a-6)/((a+6)(a-2)(a-6)) -18·(-(a-2)/((6-a)(6+a)(-a-2))]·[(a-2)(a+2)/a]=
=[ (a²-12+36+18a-36)/((a+6)(a-2)(a-6))]·[(a-2)(a+2)/a]=
=[(a²+6a)/((a+6)(a-2)(a-6))]·[(a-2)(a+2)/a]=
=[a(a+6)/((a+6)(a-2)(a-6))]·[(a-2)(a+2)/a]=1
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Answers & Comments
Verified answer
[(a-6)/(a²+4a-12) - 18/(36-a²)]·[a/(a²-4)]^(-1)==[(a-6)/((a+6)(a-2)) -18/((6-a)(6+a))]·[a/((a-2)(a+2))]^(-1)=
=[(a-6)(a-6)/((a+6)(a-2)(a-6)) -18·(-(a-2)/((6-a)(6+a)(-a-2))]·[(a-2)(a+2)/a]=
=[ (a²-12+36+18a-36)/((a+6)(a-2)(a-6))]·[(a-2)(a+2)/a]=
=[(a²+6a)/((a+6)(a-2)(a-6))]·[(a-2)(a+2)/a]=
=[a(a+6)/((a+6)(a-2)(a-6))]·[(a-2)(a+2)/a]=1