lehrkraefte:blc:miniaufgaben:kw17-2018

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lehrkraefte:blc:miniaufgaben:kw17-2018 [2020/08/09 15:20]
127.0.0.1 external edit
lehrkraefte:blc:miniaufgaben:kw17-2018 [2020/12/12 21:37] (current)
Ivo Blöchliger
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 [["$\\displaystyle \\frac{2}{5} \\cdot x^{6} y^{3} +\\frac{8}{9} \\cdot x^{8}y^{-3}$", "$\\displaystyle \\frac{2}{45}\\left(9 \\cdot x^{6} y^{3} +20 \\cdot x^{8}y^{-3}\\right)=\\frac{2}{45}x^{6}y^{-3}\\left(9y^{6}+20x^{2}\\right)$"], ["$\\displaystyle \\frac{8}{7} \\cdot x^{-6} y^{4} +\\frac{6}{5} \\cdot x^{10}y^{3}$", "$\\displaystyle \\frac{2}{35}\\left(20 \\cdot x^{-6} y^{4} +21 \\cdot x^{10}y^{3}\\right)=\\frac{2}{35}x^{-6}y^{3}\\left(20y^{1}+21x^{16}\\right)$"], ["$\\displaystyle \\frac{3}{5} \\cdot x^{-9} y^{5} +\\frac{9}{8} \\cdot x^{17}y^{8}$", "$\\displaystyle \\frac{3}{40}\\left(8 \\cdot x^{-9} y^{5} +15 \\cdot x^{17}y^{8}\\right)=\\frac{3}{40}x^{-9}y^{5}\\left(8+15x^{26}y^{3}\\right)$"], ["$\\displaystyle \\frac{6}{5} \\cdot x^{-9} y^{-3} +\\frac{2}{7} \\cdot x^{14}y^{2}$", "$\\displaystyle \\frac{2}{35}\\left(21 \\cdot x^{-9} y^{-3} +5 \\cdot x^{14}y^{2}\\right)=\\frac{2}{35}x^{-9}y^{-3}\\left(21+5x^{23}y^{5}\\right)$"], ["$\\displaystyle -\\frac{2}{9} \\cdot x^{6} y^{4} +\\frac{6}{7} \\cdot x^{11}y^{-5}$", "$\\displaystyle \\frac{2}{63}\\left(-7 \\cdot x^{6} y^{4} +27 \\cdot x^{11}y^{-5}\\right)=\\frac{2}{63}x^{6}y^{-5}\\left(-7y^{9}+27x^{5}\\right)$"], ["$\\displaystyle \\frac{2}{3} \\cdot x^{-4} y^{3} -\\frac{4}{5} \\cdot x^{-6}y^{-3}$", "$\\displaystyle \\frac{2}{15}\\left(5 \\cdot x^{-4} y^{3} -6 \\cdot x^{-6}y^{-3}\\right)=\\frac{2}{15}x^{-6}y^{-3}\\left(5x^{2}y^{6}-6\\right)$"], ["$\\displaystyle -\\frac{8}{3} \\cdot x^{3} y^{-4} -\\frac{6}{7} \\cdot x^{-11}y^{8}$", "$\\displaystyle \\frac{2}{21}\\left(-28 \\cdot x^{3} y^{-4} -9 \\cdot x^{-11}y^{8}\\right)=\\frac{2}{21}x^{-11}y^{-4}\\left(-28x^{14}-9y^{12}\\right)$"], ["$\\displaystyle -\\frac{3}{4} \\cdot x^{4} y^{-6} -\\frac{9}{5} \\cdot x^{8}y^{4}$", "$\\displaystyle \\frac{3}{20}\\left(-5 \\cdot x^{4} y^{-6} -12 \\cdot x^{8}y^{4}\\right)=\\frac{3}{20}x^{4}y^{-6}\\left(-5-12x^{4}y^{10}\\right)$"], ["$\\displaystyle \\frac{6}{5} \\cdot x^{-2} y^{7} +\\frac{2}{7} \\cdot x^{-16}y^{-3}$", "$\\displaystyle \\frac{2}{35}\\left(21 \\cdot x^{-2} y^{7} +5 \\cdot x^{-16}y^{-3}\\right)=\\frac{2}{35}x^{-16}y^{-3}\\left(21x^{14}y^{10}+5\\right)$"], ["$\\displaystyle \\frac{8}{9} \\cdot x^{-9} y^{7} -\\frac{8}{7} \\cdot x^{18}y^{-9}$", "$\\displaystyle \\frac{8}{63}\\left(7 \\cdot x^{-9} y^{7} -9 \\cdot x^{18}y^{-9}\\right)=\\frac{8}{63}x^{-9}y^{-9}\\left(7y^{16}-9x^{27}\\right)$"]], [["$\\displaystyle \\frac{2}{5} \\cdot x^{6} y^{3} +\\frac{8}{9} \\cdot x^{8}y^{-3}$", "$\\displaystyle \\frac{2}{45}\\left(9 \\cdot x^{6} y^{3} +20 \\cdot x^{8}y^{-3}\\right)=\\frac{2}{45}x^{6}y^{-3}\\left(9y^{6}+20x^{2}\\right)$"], ["$\\displaystyle \\frac{8}{7} \\cdot x^{-6} y^{4} +\\frac{6}{5} \\cdot x^{10}y^{3}$", "$\\displaystyle \\frac{2}{35}\\left(20 \\cdot x^{-6} y^{4} +21 \\cdot x^{10}y^{3}\\right)=\\frac{2}{35}x^{-6}y^{3}\\left(20y^{1}+21x^{16}\\right)$"], ["$\\displaystyle \\frac{3}{5} \\cdot x^{-9} y^{5} +\\frac{9}{8} \\cdot x^{17}y^{8}$", "$\\displaystyle \\frac{3}{40}\\left(8 \\cdot x^{-9} y^{5} +15 \\cdot x^{17}y^{8}\\right)=\\frac{3}{40}x^{-9}y^{5}\\left(8+15x^{26}y^{3}\\right)$"], ["$\\displaystyle \\frac{6}{5} \\cdot x^{-9} y^{-3} +\\frac{2}{7} \\cdot x^{14}y^{2}$", "$\\displaystyle \\frac{2}{35}\\left(21 \\cdot x^{-9} y^{-3} +5 \\cdot x^{14}y^{2}\\right)=\\frac{2}{35}x^{-9}y^{-3}\\left(21+5x^{23}y^{5}\\right)$"], ["$\\displaystyle -\\frac{2}{9} \\cdot x^{6} y^{4} +\\frac{6}{7} \\cdot x^{11}y^{-5}$", "$\\displaystyle \\frac{2}{63}\\left(-7 \\cdot x^{6} y^{4} +27 \\cdot x^{11}y^{-5}\\right)=\\frac{2}{63}x^{6}y^{-5}\\left(-7y^{9}+27x^{5}\\right)$"], ["$\\displaystyle \\frac{2}{3} \\cdot x^{-4} y^{3} -\\frac{4}{5} \\cdot x^{-6}y^{-3}$", "$\\displaystyle \\frac{2}{15}\\left(5 \\cdot x^{-4} y^{3} -6 \\cdot x^{-6}y^{-3}\\right)=\\frac{2}{15}x^{-6}y^{-3}\\left(5x^{2}y^{6}-6\\right)$"], ["$\\displaystyle -\\frac{8}{3} \\cdot x^{3} y^{-4} -\\frac{6}{7} \\cdot x^{-11}y^{8}$", "$\\displaystyle \\frac{2}{21}\\left(-28 \\cdot x^{3} y^{-4} -9 \\cdot x^{-11}y^{8}\\right)=\\frac{2}{21}x^{-11}y^{-4}\\left(-28x^{14}-9y^{12}\\right)$"], ["$\\displaystyle -\\frac{3}{4} \\cdot x^{4} y^{-6} -\\frac{9}{5} \\cdot x^{8}y^{4}$", "$\\displaystyle \\frac{3}{20}\\left(-5 \\cdot x^{4} y^{-6} -12 \\cdot x^{8}y^{4}\\right)=\\frac{3}{20}x^{4}y^{-6}\\left(-5-12x^{4}y^{10}\\right)$"], ["$\\displaystyle \\frac{6}{5} \\cdot x^{-2} y^{7} +\\frac{2}{7} \\cdot x^{-16}y^{-3}$", "$\\displaystyle \\frac{2}{35}\\left(21 \\cdot x^{-2} y^{7} +5 \\cdot x^{-16}y^{-3}\\right)=\\frac{2}{35}x^{-16}y^{-3}\\left(21x^{14}y^{10}+5\\right)$"], ["$\\displaystyle \\frac{8}{9} \\cdot x^{-9} y^{7} -\\frac{8}{7} \\cdot x^{18}y^{-9}$", "$\\displaystyle \\frac{8}{63}\\left(7 \\cdot x^{-9} y^{7} -9 \\cdot x^{18}y^{-9}\\right)=\\frac{8}{63}x^{-9}y^{-9}\\left(7y^{16}-9x^{27}\\right)$"]],
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