Solution 2.1:1b
From Förberedande kurs i matematik 1
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- | + | When the factor <math>xy</math> is multiplied by the expression inside the brackets, <math> 1+x+x^2 </math>, the distributive rule gives that all three terms <math>1</math>, <math>x</math> and <math>-x^2</math> are multiplied by <math>xy</math>, | |
- | When the factor <math>xy</math> is multiplied by the expression inside the brackets, <math> 1+x+x^2 </math>, the distributive rule gives that all three terms <math>1</math>, <math>x</math> and <math>-x^2</math> are multiplied by <math>xy</math> | + | |
- | <math> | + | {{Displayed math||<math>\begin{align} |
- | + | (1+x-x^2) &= 1\cdot xy + x\cdot xy -x^2\cdot xy\\[3pt] | |
- | \begin{align} | + | &= xy+x^2y-x^3y\,\textrm{.} |
- | (1+x-x^2) &= 1\cdot xy + x\cdot xy -x^2\cdot xy \\ | + | |
- | &= xy+x^2y-x^3y | + | |
\end{align} | \end{align} | ||
- | </math> | + | </math>}} |
- | + | ||
- | + |
Current revision
When the factor \displaystyle xy is multiplied by the expression inside the brackets, \displaystyle 1+x+x^2 , the distributive rule gives that all three terms \displaystyle 1, \displaystyle x and \displaystyle -x^2 are multiplied by \displaystyle xy,
\displaystyle \begin{align}
(1+x-x^2) &= 1\cdot xy + x\cdot xy -x^2\cdot xy\\[3pt] &= xy+x^2y-x^3y\,\textrm{.} \end{align} |