Whakaoti i te x-1/5{{left(frac{x/5right)}^3-1/5}}

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

Aromātai

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

Ngā Upane Otinga

Whakawehe x-1 ki te \frac{5}{\left(\frac{x}{5}\right)^{3}-\frac{1}{5}} mā te whakarea x-1 ki te tau huripoki o \frac{5}{\left(\frac{x}{5}\right)^{3}-\frac{1}{5}}.

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

Kia whakarewa i te \frac{x}{5} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

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

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 5^{3} me 5 ko 125. Whakareatia \frac{1}{5} ki te \frac{25}{25}.

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

Tā te mea he rite te tauraro o \frac{x^{3}}{125} me \frac{25}{125}, me tango rāua mā te tango i ō raua taurunga.

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

Tuhia te \left(x-1\right)\times \frac{x^{3}-25}{125} hei hautanga kotahi.

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

Tuhia te \frac{\frac{\left(x-1\right)\left(x^{3}-25\right)}{125}}{5} hei hautanga kotahi.

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

Whakareatia te 125 ki te 5, ka 625.

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

Whakamahia te āhuatanga tohatoha hei whakarea te x-1 ki te x^{3}-25.

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

Whakaroha

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

Ngā Upane Otinga

Whakawehe x-1 ki te \frac{5}{\left(\frac{x}{5}\right)^{3}-\frac{1}{5}} mā te whakarea x-1 ki te tau huripoki o \frac{5}{\left(\frac{x}{5}\right)^{3}-\frac{1}{5}}.

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

Kia whakarewa i te \frac{x}{5} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

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

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 5^{3} me 5 ko 125. Whakareatia \frac{1}{5} ki te \frac{25}{25}.

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

Tā te mea he rite te tauraro o \frac{x^{3}}{125} me \frac{25}{125}, me tango rāua mā te tango i ō raua taurunga.

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

Tuhia te \left(x-1\right)\times \frac{x^{3}-25}{125} hei hautanga kotahi.

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

Tuhia te \frac{\frac{\left(x-1\right)\left(x^{3}-25\right)}{125}}{5} hei hautanga kotahi.

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

Whakareatia te 125 ki te 5, ka 625.

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

Whakamahia te āhuatanga tohatoha hei whakarea te x-1 ki te x^{3}-25.

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