Lösung 2.1:3d

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By writing the expression as <math> x^2 -2\cdot 5x +5^5 </math>, applying the squaring rule <math> x^2-2ax +a^2=(x-a)^2 </math> then gives
By writing the expression as <math> x^2 -2\cdot 5x +5^5 </math>, applying the squaring rule <math> x^2-2ax +a^2=(x-a)^2 </math> then gives
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{{Displayed math||<math>x^2 -10x + 25 = x^2 -2\cdot 5x +5^5 = (x-5)^2\,\textrm{.}</math>}}
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{{Abgesetzte Formel||<math>x^2 -10x + 25 = x^2 -2\cdot 5x +5^5 = (x-5)^2\,\textrm{.}</math>}}

Version vom 08:22, 22. Okt. 2008

By writing the expression as \displaystyle x^2 -2\cdot 5x +5^5 , applying the squaring rule \displaystyle x^2-2ax +a^2=(x-a)^2 then gives

\displaystyle x^2 -10x + 25 = x^2 -2\cdot 5x +5^5 = (x-5)^2\,\textrm{.}