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Exercise:
Kürze die folgen Brüche. nprvmulticols abclist abc dfracn- abc dfracp+q abc dfracuwuv+uw abc dfrac-hh^+h abc dfracy+y+ abc dfracc-dc-d abc dfracu-vu^-v^ abc dfracx^-y^x-y abclist nprvmulticols nprvmulticols abclist setcounterabc abc dfracac-bca^-ab+b^ abc dfracp-q^p^-q^ abc dfracw-uw-u+vw-v abc dfrackp-p+k-kp+k abc dfracrs-rt-s^+t^r-s-t abc dfracx^-x^z-x^+xzxyz+xz^-yz^-z^ abc dfrackn-kn^-n- abc dfracx^-x^x^-x^-x^ abc dfraca-ba^-ab+b^ abc dfracn^-n-n^+n+ abc dfracmp--mp abc dfrace^-e-e^ abc dfracn^-nn^-n^-n+ abc dfract^+t^+t+t+ abc dfracn+n^+ abc dfracu^-v^v^-u^ abc dfrack^s^+ks^t+st^ks^+kst+st+t^ abc dfracp^-pq+q^-r^p-q-r abclist nprvmulticols
Solution:
abclist abc dfracn- abc dfracp+q abc dfracuwuv+uw dfracuwuv+w dfracwv+w abc dfrac-hh^+h dfrac-hhh+ dfrac-h+ abc dfracy+y+ dfracy+y+ dfrac abc dfracc-dc-d dfracc-dc-d dfrac abc dfracu-vu^-v^ dfracu-vu+vu-v dfracu+v abc dfracx^-y^x-y dfracx+yx-yx-y dfracx+y abc dfracac-bca^-ab+b^ dfracca-ba-b^ dfracca-b abc dfracp-q^p^-q^ dfrac^p-q^p+qp-q dfracp-qp+q abc dfracw-uw-u+vw-v dfracw-u+vw- dfracu+v abc dfrackp-p+k-kp+k dfracp+k-kp+ dfrack-k abc dfracrs-rt-s^+t^r-s-t dfracr-s-ts-tr-s-t s-t abc dfracx^-x^z-x^+xzxyz+xz^-yz^-z^ dfracxx-x-zzx-zy+z dfracxx-zy+z abc dfrackn-kn^-n- dfrackn-n+n- dfrackn+ abc dfracx^-x^x^-x^-x^ dfracx^x-x^x-x+dfracxx+ abc dfraca-ba^-ab+b^ dfraca-ba-ba-b dfraca-b abc dfracn^-n-n^+n+ dfracn+n-n+^ dfracn-n+ abc dfracmp--mp dfracmp-mp- dfrac abc dfrace^-e-e^ dfrace-e+ dfrac-ee+ abc dfracn^-nn^-n^-n+ dfracnn-n-n+n- dfracnn+n- abc dfract^+t^+t+t+ dfract+t^ -t+ t+ dfract^-t+ abc dfracn+n^+ dfracn+n^+ abc dfracu^-v^v^-u^ dfrac-v-uu^+uv+v^v+uv-u -dfracu^+uv+v^u+v abc dfrack^s^+ks^t+st^ks^+kst+st+t^ dfracsks+t^ks+ts+t dfracsks+ts+t abc dfracp^-pq+q^-r^p-q-r dfracp-q+rp-q-rp-q-r p-q+r abclist
Kürze die folgen Brüche. nprvmulticols abclist abc dfracn- abc dfracp+q abc dfracuwuv+uw abc dfrac-hh^+h abc dfracy+y+ abc dfracc-dc-d abc dfracu-vu^-v^ abc dfracx^-y^x-y abclist nprvmulticols nprvmulticols abclist setcounterabc abc dfracac-bca^-ab+b^ abc dfracp-q^p^-q^ abc dfracw-uw-u+vw-v abc dfrackp-p+k-kp+k abc dfracrs-rt-s^+t^r-s-t abc dfracx^-x^z-x^+xzxyz+xz^-yz^-z^ abc dfrackn-kn^-n- abc dfracx^-x^x^-x^-x^ abc dfraca-ba^-ab+b^ abc dfracn^-n-n^+n+ abc dfracmp--mp abc dfrace^-e-e^ abc dfracn^-nn^-n^-n+ abc dfract^+t^+t+t+ abc dfracn+n^+ abc dfracu^-v^v^-u^ abc dfrack^s^+ks^t+st^ks^+kst+st+t^ abc dfracp^-pq+q^-r^p-q-r abclist nprvmulticols
Solution:
abclist abc dfracn- abc dfracp+q abc dfracuwuv+uw dfracuwuv+w dfracwv+w abc dfrac-hh^+h dfrac-hhh+ dfrac-h+ abc dfracy+y+ dfracy+y+ dfrac abc dfracc-dc-d dfracc-dc-d dfrac abc dfracu-vu^-v^ dfracu-vu+vu-v dfracu+v abc dfracx^-y^x-y dfracx+yx-yx-y dfracx+y abc dfracac-bca^-ab+b^ dfracca-ba-b^ dfracca-b abc dfracp-q^p^-q^ dfrac^p-q^p+qp-q dfracp-qp+q abc dfracw-uw-u+vw-v dfracw-u+vw- dfracu+v abc dfrackp-p+k-kp+k dfracp+k-kp+ dfrack-k abc dfracrs-rt-s^+t^r-s-t dfracr-s-ts-tr-s-t s-t abc dfracx^-x^z-x^+xzxyz+xz^-yz^-z^ dfracxx-x-zzx-zy+z dfracxx-zy+z abc dfrackn-kn^-n- dfrackn-n+n- dfrackn+ abc dfracx^-x^x^-x^-x^ dfracx^x-x^x-x+dfracxx+ abc dfraca-ba^-ab+b^ dfraca-ba-ba-b dfraca-b abc dfracn^-n-n^+n+ dfracn+n-n+^ dfracn-n+ abc dfracmp--mp dfracmp-mp- dfrac abc dfrace^-e-e^ dfrace-e+ dfrac-ee+ abc dfracn^-nn^-n^-n+ dfracnn-n-n+n- dfracnn+n- abc dfract^+t^+t+t+ dfract+t^ -t+ t+ dfract^-t+ abc dfracn+n^+ dfracn+n^+ abc dfracu^-v^v^-u^ dfrac-v-uu^+uv+v^v+uv-u -dfracu^+uv+v^u+v abc dfrack^s^+ks^t+st^ks^+kst+st+t^ dfracsks+t^ks+ts+t dfracsks+ts+t abc dfracp^-pq+q^-r^p-q-r dfracp-q+rp-q-rp-q-r p-q+r abclist