Bruchterme multiplizieren II
Question
Solution
Short
Video
\(\LaTeX\)
No explanation / solution video to this exercise has yet been created.
Visit our YouTube-Channel to see solutions to other exercises.
Don't forget to subscribe to our channel, like the videos and leave comments!
Visit our YouTube-Channel to see solutions to other exercises.
Don't forget to subscribe to our channel, like the videos and leave comments!
Exercise:
Berechne die folgen Terme. nprvmulticols abclist abc qty-dfrach^^ abc qtydfracrst^ abc dfracm-nmdfracmm-n abc dfracx^+y^x^-y^ dfracx-yxy abc dfractu+vdfracu^-v^t^+t abc dfracr^sr-sdfracs-r^rs^ abc dfracp^-q^p^+q^ dfracp+qp-q abc dfracv^+v+t- dfrac-tv^+v+ abc xy qtydfrac xy + dfrac yx abc qty-dfracr^s^qtydfracsr-dfracs^r^+dfracs^r^ abc qtyc-dfracdcqtyc+dfrac dc abc qtydfracaba+b+aqtydfracaba+b-bdfracb-aab^ abc qtydfrac n-dfrac n^ abc qtydfrac pq -^-qtydfrac pq+^ abc qtydfracab -dfraccd^ abc qtyu-dfrac vu^-qtyu+dfracvu^ abc qtydfracx-dfracyqtydfracx+y - qtydfracx+yqtydfracx-y abc dfracaa-b dfracab - qtydfracaa-b+dfracab abc qty+dfrac rs^ - qty-dfrac rs^ abc qtydfrac c-^ - qtydfrac c +^ abclist nprvmulticols
Solution:
abclist abc *qty-dfrach^^ frach^* abc *qtydfracrst^ fracr^s^t^* abc *dfracm-nmdfracmm-n fracm-n mm m-n frac* abc *dfracx^+y^x^-y^ dfracx-yxy fracx^+y^x-yx+yx-y xy fracx^+y^x^y+xy^ * abc *dfractu+vdfracu^-v^t^+t fractu+vu-vtu+vt+ fracu-vt+* abc *dfracr^sr-sdfracs-r^rs^ fracr^s s-r^-s-r rs^ fracrs-r- s fracr^-rss * abc *dfracp^-q^p^+q^ dfracp+qp-q fracp+qp-qp+qp^+q^p-q fracp^+pq+q^p^+q^ * abc *dfracv^+v+t- dfrac-tv^+v+ frac-v+^ t-t-v+v+ frac-v+v+ frac-v-v+ * abc *xy qtydfrac xy + dfrac yx xy fracx^+y^xy x^ + y^ * abc *qty-dfracr^s^qtydfracsr-dfracs^r^+dfracs^r^ -fracrs + -fracsr frac-r^+rs-s^rs * abc *qtyc-dfracdcqtyc+dfrac dc c^-fracd^c^ fracc^-d^c^* abc *qtydfracaba+b+aqtydfracaba+b-bdfracb-aab^ qtyfraca^b^a+b^ +fraca-baba+b -ab fracb-aab^ fracab-aa+b^ - fraca-b^ba+b +fraca-bb fracabb-a -a-b^a+b + a-ba+b^ba+b^ fracab^-a^b-a-ba^-b^+a+ba^-b^ba+b^ fracab^-a^b+ba^-b^ba+b^ fracab^ + a^b-b^ba+b^ fracbab+a^-b^ba+b^ fraca+ba-ba+b^ fraca^+ab-b^a^+ab+b^ * abc *qtydfrac n-dfrac n^ qtyfracn^-n^ fracn^-n^+n^ * abc *qtydfrac pq -^-qtydfrac pq+^ fracp^q^-fracpq + -fracp^q^ - fracpq - frac-pq* abc *qtydfracab -dfraccd^ qtyfracad-bcbd^ fraca^d^-abcd+b^c^b^d^ * abc *qtyu-dfrac vu^-qtyu+dfracvu^ -v* abc *qtydfracx-dfracyqtydfracx+y - qtydfracx+yqtydfracx-y fracx-yfracx+y - fracx+yfracx-y fracx^+xy-y^-x^-xy+y^ * abc *dfracaa-b dfracab - qtydfracaa-b+dfracab fraca^ba-b - fracab+aa-bba-b * abc *qty+dfrac rs^ - qty-dfrac rs^ fracr^s^+fracr^s^ fracr^s+r^s^ * abc *qtydfrac c-^ - qtydfrac c +^ frac-c^- frac-c^-* abclist
Berechne die folgen Terme. nprvmulticols abclist abc qty-dfrach^^ abc qtydfracrst^ abc dfracm-nmdfracmm-n abc dfracx^+y^x^-y^ dfracx-yxy abc dfractu+vdfracu^-v^t^+t abc dfracr^sr-sdfracs-r^rs^ abc dfracp^-q^p^+q^ dfracp+qp-q abc dfracv^+v+t- dfrac-tv^+v+ abc xy qtydfrac xy + dfrac yx abc qty-dfracr^s^qtydfracsr-dfracs^r^+dfracs^r^ abc qtyc-dfracdcqtyc+dfrac dc abc qtydfracaba+b+aqtydfracaba+b-bdfracb-aab^ abc qtydfrac n-dfrac n^ abc qtydfrac pq -^-qtydfrac pq+^ abc qtydfracab -dfraccd^ abc qtyu-dfrac vu^-qtyu+dfracvu^ abc qtydfracx-dfracyqtydfracx+y - qtydfracx+yqtydfracx-y abc dfracaa-b dfracab - qtydfracaa-b+dfracab abc qty+dfrac rs^ - qty-dfrac rs^ abc qtydfrac c-^ - qtydfrac c +^ abclist nprvmulticols
Solution:
abclist abc *qty-dfrach^^ frach^* abc *qtydfracrst^ fracr^s^t^* abc *dfracm-nmdfracmm-n fracm-n mm m-n frac* abc *dfracx^+y^x^-y^ dfracx-yxy fracx^+y^x-yx+yx-y xy fracx^+y^x^y+xy^ * abc *dfractu+vdfracu^-v^t^+t fractu+vu-vtu+vt+ fracu-vt+* abc *dfracr^sr-sdfracs-r^rs^ fracr^s s-r^-s-r rs^ fracrs-r- s fracr^-rss * abc *dfracp^-q^p^+q^ dfracp+qp-q fracp+qp-qp+qp^+q^p-q fracp^+pq+q^p^+q^ * abc *dfracv^+v+t- dfrac-tv^+v+ frac-v+^ t-t-v+v+ frac-v+v+ frac-v-v+ * abc *xy qtydfrac xy + dfrac yx xy fracx^+y^xy x^ + y^ * abc *qty-dfracr^s^qtydfracsr-dfracs^r^+dfracs^r^ -fracrs + -fracsr frac-r^+rs-s^rs * abc *qtyc-dfracdcqtyc+dfrac dc c^-fracd^c^ fracc^-d^c^* abc *qtydfracaba+b+aqtydfracaba+b-bdfracb-aab^ qtyfraca^b^a+b^ +fraca-baba+b -ab fracb-aab^ fracab-aa+b^ - fraca-b^ba+b +fraca-bb fracabb-a -a-b^a+b + a-ba+b^ba+b^ fracab^-a^b-a-ba^-b^+a+ba^-b^ba+b^ fracab^-a^b+ba^-b^ba+b^ fracab^ + a^b-b^ba+b^ fracbab+a^-b^ba+b^ fraca+ba-ba+b^ fraca^+ab-b^a^+ab+b^ * abc *qtydfrac n-dfrac n^ qtyfracn^-n^ fracn^-n^+n^ * abc *qtydfrac pq -^-qtydfrac pq+^ fracp^q^-fracpq + -fracp^q^ - fracpq - frac-pq* abc *qtydfracab -dfraccd^ qtyfracad-bcbd^ fraca^d^-abcd+b^c^b^d^ * abc *qtyu-dfrac vu^-qtyu+dfracvu^ -v* abc *qtydfracx-dfracyqtydfracx+y - qtydfracx+yqtydfracx-y fracx-yfracx+y - fracx+yfracx-y fracx^+xy-y^-x^-xy+y^ * abc *dfracaa-b dfracab - qtydfracaa-b+dfracab fraca^ba-b - fracab+aa-bba-b * abc *qty+dfrac rs^ - qty-dfrac rs^ fracr^s^+fracr^s^ fracr^s+r^s^ * abc *qtydfrac c-^ - qtydfrac c +^ frac-c^- frac-c^-* abclist