Solution 2.1:3d
From Förberedande kurs i matematik 1
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| - | <center> [[Bild:2_1_3d.gif]] </center>  | + | 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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| + | <math> \qquad  | ||
| + | x^2 -10x +5^5 =x^2 -2\cdot 5x +5^5 =(x-5)^2  | ||
| + | </math>  | ||
| + | <!--<center> [[Bild:2_1_3d.gif]] </center>-->  | ||
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Revision as of 13:12, 13 August 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 \qquad x^2 -10x +5^5 =x^2 -2\cdot 5x +5^5 =(x-5)^2
