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

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

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 tāpiri rāua mā te tāpiri 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 tāpiri rāua mā te tāpiri 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.

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

Whakaroha

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

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 tāpiri rāua mā te tāpiri 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 tāpiri rāua mā te tāpiri 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.

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