Solution 2.1:3d
From Förberedande kurs i matematik 1
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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 | ||
- | <math> | + | {{Displayed math||<math>x^2 -10x + 25 = x^2 -2\cdot 5x +5^5 = (x-5)^2\,\textrm{.}</math>}} |
- | x^2 -10x + | + | |
- | </math> | + | |
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Current revision
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{.} |