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Úprava a podmínky zlomku
Uprav a napiš podmínky:
\( \large \Large \frac{x^{5}\cdot x^{-1}- \left( x^{3} \right) ^{2}}{ \left( \frac{x}{x-1} \right) ^{4}- \left( \frac{x-1}{x} \right) ^{-5}}\large \)
\( = \left (x\ – 1 \right )^{6}\cdot \left (x + 1 \right ) \)
\( \large x\neq 1, x\neq 0 \)
\( = \left (x\ – 1 \right )^{7}\cdot \left (x + 1 \right ) \)
\( \large x\neq 1, x\neq -1 \)
\( = \left (x\ – 2 \right )^{6}\cdot \left (x + 1 \right ) \)
\( \large x\neq 1, x\neq 0 \)
\( = \left (x\ – 1 \right )^{5}\cdot \left (x + 2 \right ) \)
\( \large x\neq 2, x\neq 0 \)