Bruchterme dividieren II
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Exercise:
Berechne die folgen Terme. nprvmulticols abclist abc dfraca+bab:a+b abc dfracc^-cdd^:c-d abc dfracp-:-p abc dfracn^-n-n+:n^+n abc dfrac :dfrac abc :dfrac abc dfrac ab:qty-dfrac cd abc dfrac ab:dfrac ab abc dfrackm:dfrackm abc dfracu^vtw:dfracuv^tw abc dfraccab:dfracacb abc qty-dfracfh^:qty-dfracf^h^ abc dfracuvu+v:dfracvu^+uw abc dfracn^-n+n+:dfracn-n+ abc dfracc^-d^c-:dfracc+d-c abc dfracm^-mm+:dfracm^-m+ abc dfracw^-w-t^ : dfracw-t^-t abc dfracn^-:dfracn-^ abc dfraca^+a^bc^+:dfraca^-ab^c^-c abc dfracx^-x+x^+x+:dfracx^+x-x^-x- abc abc:dfracac^bd abc -n-:dfracn+- abc g^h^:dfracgh abc p+q:dfracp^-q^pq abc m-:dfracm^-m- abc d^-d:dfracd-d+ abclist nprvmulticols
Solution:
abclist abc edtdfraca+bab:a+b fraca+baba+b fracab ed abc edtdfracc^-cdd^:c-d fraccc-dd^c-d fraccd^ed abc edtdfracp-:-p fracp--p- frac-ed abc edtdfracn^-n-n+:n^+n fracn+n-nn+n+ fracn^-n-n^+n^+ned abc edtdfrac :dfrac fraced abc edt:dfrac fraced abc edtdfrac ab:qty-dfrac cd frac-adbced abc edtdfrac ab:dfrac ab ed abc edtdfrackm:dfrackm frackm m k fracm^ed abc edtdfracu^vtw:dfracuv^tw fracu^vtwtwuv^ fracu v fracuv ed abc edtdfraccab:dfracacb fracc bab ac fracaa fraca^ ed abc edtqty-dfracfh^:qty-dfracf^h^ fracf h^f^ h^ fracfed abc edtdfracuvu+v:dfracvu^+uw fracuv uu+wvu+v fracu^u+wu+v fracu^+u^wu+v ed abc edtdfracn^-n+n+:dfracn-n+ fracn-n-n+n+n- n-ed abc edtdfracc^-d^c-:dfracc+d-c frac-c+dc-dc-c-c+d -c+d ed abc edtdfracm^-mm+:dfracm^-m+ fracmm-m+m+m-m+ fracmm+ ed abc edtdfracw^-w-t^ : dfracw-t^-t fracw-w+ tt-t^w- fracw+t-t fractw+t-w-t ed abc edtdfracn^-:dfracn-^ frac^n-^n+n- fracn-n+ fracn-n+ ed abc edtdfraca^+a^bc^+:dfraca^-ab^c^-c fraca^a+b cc-c+c- a^a-b fraca+bc+a-b fraca+ba+ac-bc-b ed abc edtrbx.dfracx^-x+x^+x+:dfracx^+x-x^-x- fracx-^ x-x+x+^ x+x- fracx- x-x+ x+ fracx^-x+x^+x+ed abc edtabc:dfracac^bd fracabc bdac^ fracbbdc ed abc edt-n-:dfracn+- fracn+n+ ed abc edtg^h^:dfracgh fracg^h^ hg fracgh^ h fracgh^ ed abc edtp+q:dfracp^-q^pq fracp+qpqp+qp-q fracpqp-q ed abc edtm-:dfracm^-m- fracm-m-m+m- fracm-m+ed abc edtd^-d:dfracd-d+ fracdd-d+d- fracdd+ fracd^+ded abclist
Berechne die folgen Terme. nprvmulticols abclist abc dfraca+bab:a+b abc dfracc^-cdd^:c-d abc dfracp-:-p abc dfracn^-n-n+:n^+n abc dfrac :dfrac abc :dfrac abc dfrac ab:qty-dfrac cd abc dfrac ab:dfrac ab abc dfrackm:dfrackm abc dfracu^vtw:dfracuv^tw abc dfraccab:dfracacb abc qty-dfracfh^:qty-dfracf^h^ abc dfracuvu+v:dfracvu^+uw abc dfracn^-n+n+:dfracn-n+ abc dfracc^-d^c-:dfracc+d-c abc dfracm^-mm+:dfracm^-m+ abc dfracw^-w-t^ : dfracw-t^-t abc dfracn^-:dfracn-^ abc dfraca^+a^bc^+:dfraca^-ab^c^-c abc dfracx^-x+x^+x+:dfracx^+x-x^-x- abc abc:dfracac^bd abc -n-:dfracn+- abc g^h^:dfracgh abc p+q:dfracp^-q^pq abc m-:dfracm^-m- abc d^-d:dfracd-d+ abclist nprvmulticols
Solution:
abclist abc edtdfraca+bab:a+b fraca+baba+b fracab ed abc edtdfracc^-cdd^:c-d fraccc-dd^c-d fraccd^ed abc edtdfracp-:-p fracp--p- frac-ed abc edtdfracn^-n-n+:n^+n fracn+n-nn+n+ fracn^-n-n^+n^+ned abc edtdfrac :dfrac fraced abc edt:dfrac fraced abc edtdfrac ab:qty-dfrac cd frac-adbced abc edtdfrac ab:dfrac ab ed abc edtdfrackm:dfrackm frackm m k fracm^ed abc edtdfracu^vtw:dfracuv^tw fracu^vtwtwuv^ fracu v fracuv ed abc edtdfraccab:dfracacb fracc bab ac fracaa fraca^ ed abc edtqty-dfracfh^:qty-dfracf^h^ fracf h^f^ h^ fracfed abc edtdfracuvu+v:dfracvu^+uw fracuv uu+wvu+v fracu^u+wu+v fracu^+u^wu+v ed abc edtdfracn^-n+n+:dfracn-n+ fracn-n-n+n+n- n-ed abc edtdfracc^-d^c-:dfracc+d-c frac-c+dc-dc-c-c+d -c+d ed abc edtdfracm^-mm+:dfracm^-m+ fracmm-m+m+m-m+ fracmm+ ed abc edtdfracw^-w-t^ : dfracw-t^-t fracw-w+ tt-t^w- fracw+t-t fractw+t-w-t ed abc edtdfracn^-:dfracn-^ frac^n-^n+n- fracn-n+ fracn-n+ ed abc edtdfraca^+a^bc^+:dfraca^-ab^c^-c fraca^a+b cc-c+c- a^a-b fraca+bc+a-b fraca+ba+ac-bc-b ed abc edtrbx.dfracx^-x+x^+x+:dfracx^+x-x^-x- fracx-^ x-x+x+^ x+x- fracx- x-x+ x+ fracx^-x+x^+x+ed abc edtabc:dfracac^bd fracabc bdac^ fracbbdc ed abc edt-n-:dfracn+- fracn+n+ ed abc edtg^h^:dfracgh fracg^h^ hg fracgh^ h fracgh^ ed abc edtp+q:dfracp^-q^pq fracp+qpqp+qp-q fracpqp-q ed abc edtm-:dfracm^-m- fracm-m-m+m- fracm-m+ed abc edtd^-d:dfracd-d+ fracdd-d+d- fracdd+ fracd^+ded abclist