Bruchterme addieren und subtrahieren I
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Exercise:
Berechne die folgen Bruchterme. nprvmulticols abclist abc baddx+x abc dfracn + dfracn - dfrac-n abc baddz-z abc badd-zv-uv abc badda+b+a-b abc -baddr++r+ abc dfrac-t+t-dfract+t-dfract-t abc baddm++mm+ abc baddxyy^-yz+z^-xzy^-yz+z^ abc baddqp-q-pp-q abc -badds^s^-+s^s^- abc badde-e abc baddac-cd abc baddu+u abc baddzn^+n abc badds-s- abc baddx+yxy+x+zxz + dfracy+zyz abc baddc-c^+c-c^ abc dfraca + abc w-+dfrac w abc m-dfrac n abc dfracxz - y + z abc dfracr+ + abc d-dfracnd-n abc p+dfrac-p abc -dfrack^-k+k^ abclist nprvmulticols
Solution:
abclist abc * baddx+x fracx x * abc * dfracn + dfracn - dfrac-n fracn * abc * baddz-z fracz fracz * abc * badd-zv-uv frac-u-zv * abc * badda+b+a-b fraca a * abc * -baddr++r+ frac-r-+r+ fracr- * abc * dfrac-t+t-dfract+t-dfract-t frac-t + -t--t+t frac-t+t frac-t+t frac-t+ * abc * baddm++mm+ frac+mm+ * abc * baddxyy^-yz+z^-xzy^-yz+z^ fracxy-xzy^-yz+z^ fracxy-zy-z^ fracxy-z * abc * baddqp-q-pp-q fracq-pp-q - * abc * -badds^s^-+s^s^- frac-s^+s^s^- frac-s^s-s+s- frac-s^s+ * abc * badde-e frace frac e * abc * baddac-cd fracd - aacd * abc * baddu+u fracu+u fracu * abc * baddzn^+n fracz+nn^ * abc * badds-s- fracs-s+ fracs+ fracs+ fracs+ * abc * baddx+yxy+x+zxz + dfracy+zyz fracxz + yz + xy+yz + xy+xzxyz fracxy+xz+yzxyz fracxy+xz+yzxyz fracxy+xz+yzxyz * abc * baddc-c^+c-c^ fracc--c^+cc^ frac-c^+c-c^ * abc * dfraca + fraca+ * abc * w-+dfrac w fracw^-w+w * abc * m-dfrac n fracm-n * abc * dfracxz - y + z fracx-yz+z^z * abc * dfracr+ + fracr++ fracr+ * abc * d-dfracnd-n fracnd-nd+n frac-n * abc * p+dfrac-p fracp+-p fracp+ * abc * -dfrack^-k+k^ frack^-k^+k+k^ frack^+k-k^ * abclist
Berechne die folgen Bruchterme. nprvmulticols abclist abc baddx+x abc dfracn + dfracn - dfrac-n abc baddz-z abc badd-zv-uv abc badda+b+a-b abc -baddr++r+ abc dfrac-t+t-dfract+t-dfract-t abc baddm++mm+ abc baddxyy^-yz+z^-xzy^-yz+z^ abc baddqp-q-pp-q abc -badds^s^-+s^s^- abc badde-e abc baddac-cd abc baddu+u abc baddzn^+n abc badds-s- abc baddx+yxy+x+zxz + dfracy+zyz abc baddc-c^+c-c^ abc dfraca + abc w-+dfrac w abc m-dfrac n abc dfracxz - y + z abc dfracr+ + abc d-dfracnd-n abc p+dfrac-p abc -dfrack^-k+k^ abclist nprvmulticols
Solution:
abclist abc * baddx+x fracx x * abc * dfracn + dfracn - dfrac-n fracn * abc * baddz-z fracz fracz * abc * badd-zv-uv frac-u-zv * abc * badda+b+a-b fraca a * abc * -baddr++r+ frac-r-+r+ fracr- * abc * dfrac-t+t-dfract+t-dfract-t frac-t + -t--t+t frac-t+t frac-t+t frac-t+ * abc * baddm++mm+ frac+mm+ * abc * baddxyy^-yz+z^-xzy^-yz+z^ fracxy-xzy^-yz+z^ fracxy-zy-z^ fracxy-z * abc * baddqp-q-pp-q fracq-pp-q - * abc * -badds^s^-+s^s^- frac-s^+s^s^- frac-s^s-s+s- frac-s^s+ * abc * badde-e frace frac e * abc * baddac-cd fracd - aacd * abc * baddu+u fracu+u fracu * abc * baddzn^+n fracz+nn^ * abc * badds-s- fracs-s+ fracs+ fracs+ fracs+ * abc * baddx+yxy+x+zxz + dfracy+zyz fracxz + yz + xy+yz + xy+xzxyz fracxy+xz+yzxyz fracxy+xz+yzxyz fracxy+xz+yzxyz * abc * baddc-c^+c-c^ fracc--c^+cc^ frac-c^+c-c^ * abc * dfraca + fraca+ * abc * w-+dfrac w fracw^-w+w * abc * m-dfrac n fracm-n * abc * dfracxz - y + z fracx-yz+z^z * abc * dfracr+ + fracr++ fracr+ * abc * d-dfracnd-n fracnd-nd+n frac-n * abc * p+dfrac-p fracp+-p fracp+ * abc * -dfrack^-k+k^ frack^-k^+k+k^ frack^+k-k^ * abclist