• UeT Nr. 7 - Binomische Formeln
  • Christian Leeser
  • 30.06.2020
  • Mittlere Reife
  • Mathematik
  • 8
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1
Wende eine binomische Formel an.
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  • a) (u+t)2\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \small (u+t)^2
  • b) (rq)2\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \small (r-q)^2
  • c) (e+f)(ef)\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \small (e+f)(e-f)
  • d) (4x9)2\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \small (4x-9)^2
  • e) (6a+7)2\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \small (6a+7)^2
  • f) (5b+11)(5b11)\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \small (5b+11)(5b-11)
2
Faktorisiere mithilfe einer binomschen Formel
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  • a) 16x216x+4\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \small 16x^2-16x+4
  • b) 64z2+144z+81\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \small 64z^2+144z+81
  • c) i2+8it+16t2\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \small i^2+8it+16t^2
  • d) u22ur+r2\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \small u^2-2ur+r^2
  • e) o2p2\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \small o^2-p^2
  • f) 25k236w2\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \small 25k^2-36w^2
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Note