Bruchterme multiplizieren I
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Exercise:
Berechne die folgen Bruchterme. nprvmulticols abclist abc dfrac abc a dfrac-bc abc xdfrac yx abc ndfracmn^ abc a dfracab abc m^n dfrac-cdmn^ abc k^tdfrach^k^t abc -pzqty-dfracq^zp^ abc a-bdfraca+ba-b abc dfracq^-q- abc zdfracz+z^+z abc k-dfrack-k abc r^-s^dfracr+sr-s abc dfraca+b+cab+ac abc abc dfracxyzxz+yz abc m^-n^dfracm-n^m+n^ abc dfracdfrac abc dfrac ab dfrac ba abc dfrac abdfracc-d abc qty-dfrac n^ abc dfracab dfracbca abc dfrac-u^wv^dfrac-vuw^ abc dfracm^n^dfrac-n^m abc dfracr^s^t^dfracst^r^ abc qtydfracab^ abc qty-dfracxyzcd^ abclist nprvmulticols
Solution:
abclist abc *dfrac frac* abc *a dfrac-bc frac-abc* abc *xdfrac yx y* abc *ndfracmn^ fracmn* abc *a dfracab fraca ab fraca ab fraca^b * abc *m^n dfrac-cdmn^ fracm^n-cdmn^ frac m^ -cdn frac-cdm^n * abc *k^tdfrach^k^t h^* abc *-pzqty-dfracq^zp^ fracpz q^zp^ fracz q^zp fracq^z^p * abc *a-bdfraca+ba-b a +b * abc *dfracq^-q- fracq-q+q- fracq+ * abc *zdfracz+z^+z fraczz+zz+ fracz+z+ * abc *k-dfrack-k -k* abc *r^-s^dfracr+sr-s fracr+sr-sr+sr-s r^ + rs + s^ * abc *dfraca+b+cab+ac abc frac a+b+cabcab+c fracbca+b+cb+c fracabc + b^c +bc^b+c * abc *dfracxyzxz+yz fracxzy+zyz fracxy+xzy* abc *m^-n^dfracm-n^m+n^ fracm+nm-n^m+n^ fracm-n^m+n fracm^-m^n+mn^-n^m+n * abc *dfracdfrac frac * abc *dfrac ab dfrac ba * abc *dfrac abdfracc-d frac-acbd* abc *qty-dfrac n^ -fracn^* abc *dfracab dfracbca frac c c * abc *dfrac-u^wv^dfrac-vuw^ fracu^w vv^ uw^ fracu v^ w^ fracuv^w^ * abc *dfracm^n^dfrac-n^m fracm-n^ frac-mn^* abc *dfracr^s^t^dfracst^r^ fracr^s^ st^ fracr^s^t^ * abc *qtydfracab^ fraca^b^* abc *qty-dfracxyzcd^ fracx^y^z^c^d^ * abclist
Berechne die folgen Bruchterme. nprvmulticols abclist abc dfrac abc a dfrac-bc abc xdfrac yx abc ndfracmn^ abc a dfracab abc m^n dfrac-cdmn^ abc k^tdfrach^k^t abc -pzqty-dfracq^zp^ abc a-bdfraca+ba-b abc dfracq^-q- abc zdfracz+z^+z abc k-dfrack-k abc r^-s^dfracr+sr-s abc dfraca+b+cab+ac abc abc dfracxyzxz+yz abc m^-n^dfracm-n^m+n^ abc dfracdfrac abc dfrac ab dfrac ba abc dfrac abdfracc-d abc qty-dfrac n^ abc dfracab dfracbca abc dfrac-u^wv^dfrac-vuw^ abc dfracm^n^dfrac-n^m abc dfracr^s^t^dfracst^r^ abc qtydfracab^ abc qty-dfracxyzcd^ abclist nprvmulticols
Solution:
abclist abc *dfrac frac* abc *a dfrac-bc frac-abc* abc *xdfrac yx y* abc *ndfracmn^ fracmn* abc *a dfracab fraca ab fraca ab fraca^b * abc *m^n dfrac-cdmn^ fracm^n-cdmn^ frac m^ -cdn frac-cdm^n * abc *k^tdfrach^k^t h^* abc *-pzqty-dfracq^zp^ fracpz q^zp^ fracz q^zp fracq^z^p * abc *a-bdfraca+ba-b a +b * abc *dfracq^-q- fracq-q+q- fracq+ * abc *zdfracz+z^+z fraczz+zz+ fracz+z+ * abc *k-dfrack-k -k* abc *r^-s^dfracr+sr-s fracr+sr-sr+sr-s r^ + rs + s^ * abc *dfraca+b+cab+ac abc frac a+b+cabcab+c fracbca+b+cb+c fracabc + b^c +bc^b+c * abc *dfracxyzxz+yz fracxzy+zyz fracxy+xzy* abc *m^-n^dfracm-n^m+n^ fracm+nm-n^m+n^ fracm-n^m+n fracm^-m^n+mn^-n^m+n * abc *dfracdfrac frac * abc *dfrac ab dfrac ba * abc *dfrac abdfracc-d frac-acbd* abc *qty-dfrac n^ -fracn^* abc *dfracab dfracbca frac c c * abc *dfrac-u^wv^dfrac-vuw^ fracu^w vv^ uw^ fracu v^ w^ fracuv^w^ * abc *dfracm^n^dfrac-n^m fracm-n^ frac-mn^* abc *dfracr^s^t^dfracst^r^ fracr^s^ st^ fracr^s^t^ * abc *qtydfracab^ fraca^b^* abc *qty-dfracxyzcd^ fracx^y^z^c^d^ * abclist