Rešite x-1/5{{left(frac{x/5right)}^3-1/5}}

$$\frac{ x-1 }{ \frac{ 5 }{ { \left( \frac{ x }{ 5 } \right) }^{ 3 } - \frac{ 1 }{ 5 } } }$$

Ovrednoti

$$\frac{\left(x-1\right)\left(x^{3}-25\right)}{625}$$

Koraki rešitve

Delite x-1 s/z \frac{5}{\left(\frac{x}{5}\right)^{3}-\frac{1}{5}} tako, da pomnožite x-1 z obratno vrednostjo \frac{5}{\left(\frac{x}{5}\right)^{3}-\frac{1}{5}}.

$$\frac{\left(x-1\right)\left(\left(\frac{x}{5}\right)^{3}-\frac{1}{5}\right)}{5}$$

Če želite dobiti potenco vrednosti \frac{x}{5}, potencirajte števec in imenovalec, nato pa delite.

$$\frac{\left(x-1\right)\left(\frac{x^{3}}{5^{3}}-\frac{1}{5}\right)}{5}$$

Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik 5^{3} in 5 je 125. Pomnožite \frac{1}{5} s/z \frac{25}{25}.

$$\frac{\left(x-1\right)\left(\frac{x^{3}}{125}-\frac{25}{125}\right)}{5}$$

Ker \frac{x^{3}}{125} in \frac{25}{125} imata isti imenovalec, jih odštejte tako, da odštejete njihove števce.

$$\frac{\left(x-1\right)\times \frac{x^{3}-25}{125}}{5}$$

Izrazite \left(x-1\right)\times \frac{x^{3}-25}{125} kot enojni ulomek.

$$\frac{\frac{\left(x-1\right)\left(x^{3}-25\right)}{125}}{5}$$

Izrazite \frac{\frac{\left(x-1\right)\left(x^{3}-25\right)}{125}}{5} kot enojni ulomek.

$$\frac{\left(x-1\right)\left(x^{3}-25\right)}{125\times 5}$$

Pomnožite 125 in 5, da dobite 625.

$$\frac{\left(x-1\right)\left(x^{3}-25\right)}{625}$$

Uporabite distributivnost, da pomnožite x-1 s/z x^{3}-25.

$$\frac{x^{4}-25x-x^{3}+25}{625}$$

Razširi

$$\frac{x^{4}}{625}-\frac{x^{3}}{625}-\frac{x}{25}+\frac{1}{25}$$

Koraki rešitve

Delite x-1 s/z \frac{5}{\left(\frac{x}{5}\right)^{3}-\frac{1}{5}} tako, da pomnožite x-1 z obratno vrednostjo \frac{5}{\left(\frac{x}{5}\right)^{3}-\frac{1}{5}}.

$$\frac{\left(x-1\right)\left(\left(\frac{x}{5}\right)^{3}-\frac{1}{5}\right)}{5}$$

Če želite dobiti potenco vrednosti \frac{x}{5}, potencirajte števec in imenovalec, nato pa delite.

$$\frac{\left(x-1\right)\left(\frac{x^{3}}{5^{3}}-\frac{1}{5}\right)}{5}$$

Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik 5^{3} in 5 je 125. Pomnožite \frac{1}{5} s/z \frac{25}{25}.

$$\frac{\left(x-1\right)\left(\frac{x^{3}}{125}-\frac{25}{125}\right)}{5}$$

Ker \frac{x^{3}}{125} in \frac{25}{125} imata isti imenovalec, jih odštejte tako, da odštejete njihove števce.

$$\frac{\left(x-1\right)\times \frac{x^{3}-25}{125}}{5}$$

Izrazite \left(x-1\right)\times \frac{x^{3}-25}{125} kot enojni ulomek.

$$\frac{\frac{\left(x-1\right)\left(x^{3}-25\right)}{125}}{5}$$

Izrazite \frac{\frac{\left(x-1\right)\left(x^{3}-25\right)}{125}}{5} kot enojni ulomek.

$$\frac{\left(x-1\right)\left(x^{3}-25\right)}{125\times 5}$$

Pomnožite 125 in 5, da dobite 625.

$$\frac{\left(x-1\right)\left(x^{3}-25\right)}{625}$$

Uporabite distributivnost, da pomnožite x-1 s/z x^{3}-25.

$$\frac{x^{4}-25x-x^{3}+25}{625}$$