Uprava v reálných číslech
Uprav v \mathbb{R} a urči podmínky:
\large \Large \frac{{k^{2}+k}}{{kx-ky}}\large
\frac{{k^{2}\ +\ k}}{{kx\ –\ ky}} = \frac{{k\ \cdot\ \left( {k\ +\ 1} \right)}}{{k\ \cdot\ \left( {x\ –\ y} \right)}} = \frac{{k\ +\ 1}}{{x\ –\ y}}
\large x\neq y,k\neq 0
\frac{{k^{2}\ +\ k}}{{kx\ –\ ky}} = \frac{{k\ \cdot\ \left( {k\ +\ 1} \right)}}{{k\ \cdot\ \left( {x\ +\ y} \right)}} = \frac{{k\ +\ 1}}{{x\ +\ y}}
\large x\neq y,k\neq 0
\frac{{k^{2}\ +\ k}}{{kx\ –\ ky}} = \frac{{k\ \cdot\ \left( {k\ +\ 1} \right)}}{{k\ \cdot\ \left( {x\ –\ y} \right)}} = \frac{{k\ +\ 1}}{{x\ +\ y}}
\large x\neq y,k\neq 1
\frac{{k^{2}\ +\ k}}{{kx\ –\ ky}} = \frac{{k\ \cdot\ \left( {k\ +\ 2} \right)}}{{k\ \cdot\ \left( {x\ –\ y} \right)}} = \frac{{k\ +\ 2}}{{x\ –\ y}}
\large x\neq y,k\neq 0