Whakaoti i te (3x-4/x)(9x^2-12-16/x^2)

$$( 3 x - \frac { 4 } { x } ) ( 9 x ^ { 2 } - 12 - \frac { 16 } { x ^ { 2 } } )$$

Aromātai

$$27x^{3}-72x+\frac{64}{x^{3}}$$

Ngā Hipanga Rongoā Poto

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 3x ki te \frac{x}{x}.

$$\left(\frac{3xx}{x}-\frac{4}{x}\right)\left(9x^{2}-12-\frac{16}{x^{2}}\right)$$

Tā te mea he rite te tauraro o \frac{3xx}{x} me \frac{4}{x}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{3xx-4}{x}\left(9x^{2}-12-\frac{16}{x^{2}}\right)$$

Mahia ngā whakarea i roto o 3xx-4.

$$\frac{3x^{2}-4}{x}\left(9x^{2}-12-\frac{16}{x^{2}}\right)$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 9x^{2}-12 ki te \frac{x^{2}}{x^{2}}.

$$\frac{3x^{2}-4}{x}\left(\frac{\left(9x^{2}-12\right)x^{2}}{x^{2}}-\frac{16}{x^{2}}\right)$$

Tā te mea he rite te tauraro o \frac{\left(9x^{2}-12\right)x^{2}}{x^{2}} me \frac{16}{x^{2}}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{3x^{2}-4}{x}\times \frac{\left(9x^{2}-12\right)x^{2}-16}{x^{2}}$$

Mahia ngā whakarea i roto o \left(9x^{2}-12\right)x^{2}-16.

$$\frac{3x^{2}-4}{x}\times \frac{9x^{4}-12x^{2}-16}{x^{2}}$$

Me whakarea te \frac{3x^{2}-4}{x} ki te \frac{9x^{4}-12x^{2}-16}{x^{2}} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\left(3x^{2}-4\right)\left(9x^{4}-12x^{2}-16\right)}{xx^{2}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te 2 kia riro ai te 3.

$$\frac{\left(3x^{2}-4\right)\left(9x^{4}-12x^{2}-16\right)}{x^{3}}$$

Whakamahia te āhuatanga tuaritanga hei whakarea te 3x^{2}-4 ki te 9x^{4}-12x^{2}-16 ka whakakotahi i ngā kupu rite.

$$\frac{27x^{6}-72x^{4}+64}{x^{3}}$$

Whakaroha

$$27x^{3}-72x+\frac{64}{x^{3}}$$

Ngā Hipanga Rongoā Poto

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 3x ki te \frac{x}{x}.

$$\left(\frac{3xx}{x}-\frac{4}{x}\right)\left(9x^{2}-12-\frac{16}{x^{2}}\right)$$

Tā te mea he rite te tauraro o \frac{3xx}{x} me \frac{4}{x}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{3xx-4}{x}\left(9x^{2}-12-\frac{16}{x^{2}}\right)$$

Mahia ngā whakarea i roto o 3xx-4.

$$\frac{3x^{2}-4}{x}\left(9x^{2}-12-\frac{16}{x^{2}}\right)$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 9x^{2}-12 ki te \frac{x^{2}}{x^{2}}.

$$\frac{3x^{2}-4}{x}\left(\frac{\left(9x^{2}-12\right)x^{2}}{x^{2}}-\frac{16}{x^{2}}\right)$$

Tā te mea he rite te tauraro o \frac{\left(9x^{2}-12\right)x^{2}}{x^{2}} me \frac{16}{x^{2}}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{3x^{2}-4}{x}\times \frac{\left(9x^{2}-12\right)x^{2}-16}{x^{2}}$$

Mahia ngā whakarea i roto o \left(9x^{2}-12\right)x^{2}-16.

$$\frac{3x^{2}-4}{x}\times \frac{9x^{4}-12x^{2}-16}{x^{2}}$$

Me whakarea te \frac{3x^{2}-4}{x} ki te \frac{9x^{4}-12x^{2}-16}{x^{2}} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\left(3x^{2}-4\right)\left(9x^{4}-12x^{2}-16\right)}{xx^{2}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te 2 kia riro ai te 3.

$$\frac{\left(3x^{2}-4\right)\left(9x^{4}-12x^{2}-16\right)}{x^{3}}$$

Whakamahia te āhuatanga tuaritanga hei whakarea te 3x^{2}-4 ki te 9x^{4}-12x^{2}-16 ka whakakotahi i ngā kupu rite.

$$\frac{27x^{6}-72x^{4}+64}{x^{3}}$$