Profilbild von sozpaed
  • UeT Nr. 7 - Binomische Formeln
  • sozpaed
    basic
  • 09.09.2018
  • Mittlere Reife
  • Mathematik
  • 8
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  • https://www.tutory.de/w/2b5e8ad0
    1
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    Wende eine binomische Formel an.
    • a) (u+t)2\gdef\cloze#1{\colorbox{dedede}{\color{transparent}{\large{$\displaystyle #1$}}}} \small (u+t)^2
    • b) (rq)2\gdef\cloze#1{\colorbox{dedede}{\color{transparent}{\large{$\displaystyle #1$}}}} \small (r-q)^2
    • c) (e+f)(ef)\gdef\cloze#1{\colorbox{dedede}{\color{transparent}{\large{$\displaystyle #1$}}}} \small (e+f)(e-f)
    • d) (4x9)2\gdef\cloze#1{\colorbox{dedede}{\color{transparent}{\large{$\displaystyle #1$}}}} \small (4x-9)^2
    • e) (6a+7)2\gdef\cloze#1{\colorbox{dedede}{\color{transparent}{\large{$\displaystyle #1$}}}} \small (6a+7)^2
    • f) (5b+11)(5b11)\gdef\cloze#1{\colorbox{dedede}{\color{transparent}{\large{$\displaystyle #1$}}}} \small (5b+11)(5b-11)
    a) (u+t)2=u2+2ut+t2\gdef\cloze#1{\colorbox{dedede}{\color{transparent}{\large{$\displaystyle #1$}}}} \small (u+t)^2 = u^2+2ut+t^2
    b) (rq)2=r22rq+q2\gdef\cloze#1{\colorbox{dedede}{\color{transparent}{\large{$\displaystyle #1$}}}} \small (r-q)^2 = r^2 - 2rq + q^2
    c) (e+f)(ef)=e2f2\gdef\cloze#1{\colorbox{dedede}{\color{transparent}{\large{$\displaystyle #1$}}}} \small (e+f)(e-f) = e^2 - f^2
    d) (4x9)2=16x272x+81\gdef\cloze#1{\colorbox{dedede}{\color{transparent}{\large{$\displaystyle #1$}}}} \small (4x-9)^2 = 16x^2-72x+81
    e) (6a+7)2=36a2+84a+49\gdef\cloze#1{\colorbox{dedede}{\color{transparent}{\large{$\displaystyle #1$}}}} \small (6a+7)^2 = 36a^2+84a+49
    f) (5b+11)(5b11)=25b2121\gdef\cloze#1{\colorbox{dedede}{\color{transparent}{\large{$\displaystyle #1$}}}} \small (5b+11)(5b-11) = 25b^2 - 121
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    Faktorisiere mithilfe einer binomschen Formel
    • a) 16x216x+4\gdef\cloze#1{\colorbox{dedede}{\color{transparent}{\large{$\displaystyle #1$}}}} \small 16x^2-16x+4
    • b) 64z2+144z+81\gdef\cloze#1{\colorbox{dedede}{\color{transparent}{\large{$\displaystyle #1$}}}} \small 64z^2+144z+81
    • c) i2+8it+16t2\gdef\cloze#1{\colorbox{dedede}{\color{transparent}{\large{$\displaystyle #1$}}}} \small i^2+8it+16t^2
    • d) u22ur+r2\gdef\cloze#1{\colorbox{dedede}{\color{transparent}{\large{$\displaystyle #1$}}}} \small u^2-2ur+r^2
    • e) o2p2\gdef\cloze#1{\colorbox{dedede}{\color{transparent}{\large{$\displaystyle #1$}}}} \small o^2-p^2
    • f) 25k236w2\gdef\cloze#1{\colorbox{dedede}{\color{transparent}{\large{$\displaystyle #1$}}}} \small 25k^2-36w^2
    a) 16x216x+4=(4x2)2\gdef\cloze#1{\colorbox{dedede}{\color{transparent}{\large{$\displaystyle #1$}}}} \small 16x^2-16x+4 = (4x-2)^2
    b) 64z2+144z+81=(8z+9)2\gdef\cloze#1{\colorbox{dedede}{\color{transparent}{\large{$\displaystyle #1$}}}} \small 64z^2+144z+81 = (8z+9)^2
    c) i2+8it+16t2=(i+4t)2\gdef\cloze#1{\colorbox{dedede}{\color{transparent}{\large{$\displaystyle #1$}}}} \small i^2+8it+16t^2 = (i+4t)^2
    d) u22ur+r2=(ur)2\gdef\cloze#1{\colorbox{dedede}{\color{transparent}{\large{$\displaystyle #1$}}}} \small u^2-2ur+r^2 = (u-r)^2
    e) o2p2=(o+p)(op)\gdef\cloze#1{\colorbox{dedede}{\color{transparent}{\large{$\displaystyle #1$}}}} \small o^2-p^2 = (o+p)(o-p)
    f) 25k236w2=(5k+6w)(5k6w)\gdef\cloze#1{\colorbox{dedede}{\color{transparent}{\large{$\displaystyle #1$}}}} \small 25k^2-36w^2 = (5k+6w)(5k-6w)
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    Note