Whakaoti i te frac{24x(x^{3}+1)^{3/2}-3x^{2}(12x^{2}x^{3}*(x^3+1)^3/2)}{16(x^3+1)^3/2}

$$\frac { 24 x ( x ^ { 3 } + 1 ) ^ { 3 / 2 } - 3 x ^ { 2 } ( 12 x ^ { 2 } x ^ { 3 } \cdot ( x ^ { 3 } + 1 ) ^ { 3 / 2 } ) } { 16 ( x ^ { 3 } + 1 ) ^ { 3 / 2 } }$$

Aromātai

$$-\frac{9x^{7}}{4}+\frac{3x}{2}$$

Ngā Hipanga Rongoā Poto

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 2 kia riro ai te 4.

$$\frac{24x\left(x^{3}+1\right)^{\frac{3}{2}}-3x^{4}\times 12x^{3}\left(x^{3}+1\right)^{\frac{3}{2}}}{16\left(x^{3}+1\right)^{\frac{3}{2}}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 4 me te 3 kia riro ai te 7.

$$\frac{24x\left(x^{3}+1\right)^{\frac{3}{2}}-3x^{7}\times 12\left(x^{3}+1\right)^{\frac{3}{2}}}{16\left(x^{3}+1\right)^{\frac{3}{2}}}$$

Whakareatia te 3 ki te 12, ka 36.

$$\frac{24x\left(x^{3}+1\right)^{\frac{3}{2}}-36x^{7}\left(x^{3}+1\right)^{\frac{3}{2}}}{16\left(x^{3}+1\right)^{\frac{3}{2}}}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

$$\frac{12x\left(x^{3}+1\right)^{\frac{3}{2}}\left(-3x^{6}+2\right)}{16\left(x^{3}+1\right)^{\frac{3}{2}}}$$

Me whakakore tahi te 4\left(x^{3}+1\right)^{\frac{3}{2}} i te taurunga me te tauraro.

$$\frac{3x\left(-3x^{6}+2\right)}{4}$$

Me whakaroha te kīanga.

$$\frac{-9x^{7}+6x}{4}$$

Tauwehe

$$\frac{3x\left(2-3x^{6}\right)}{4}$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 2 kia riro ai te 4.

$$factor(\frac{24x\left(x^{3}+1\right)^{\frac{3}{2}}-3x^{4}\times 12x^{3}\left(x^{3}+1\right)^{\frac{3}{2}}}{16\left(x^{3}+1\right)^{\frac{3}{2}}})$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 4 me te 3 kia riro ai te 7.

$$factor(\frac{24x\left(x^{3}+1\right)^{\frac{3}{2}}-3x^{7}\times 12\left(x^{3}+1\right)^{\frac{3}{2}}}{16\left(x^{3}+1\right)^{\frac{3}{2}}})$$

Whakareatia te 3 ki te 12, ka 36.

$$factor(\frac{24x\left(x^{3}+1\right)^{\frac{3}{2}}-36x^{7}\left(x^{3}+1\right)^{\frac{3}{2}}}{16\left(x^{3}+1\right)^{\frac{3}{2}}})$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{24x\left(x^{3}+1\right)^{\frac{3}{2}}-36x^{7}\left(x^{3}+1\right)^{\frac{3}{2}}}{16\left(x^{3}+1\right)^{\frac{3}{2}}}.

$$factor(\frac{12x\left(x^{3}+1\right)^{\frac{3}{2}}\left(-3x^{6}+2\right)}{16\left(x^{3}+1\right)^{\frac{3}{2}}})$$

Me whakakore tahi te 4\left(x^{3}+1\right)^{\frac{3}{2}} i te taurunga me te tauraro.

$$factor(\frac{3x\left(-3x^{6}+2\right)}{4})$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3x ki te -3x^{6}+2.

$$factor(\frac{-9x^{7}+6x}{4})$$

Whakaarohia te -9x^{7}+6x. Tauwehea te 3.

$$3\left(-3x^{7}+2x\right)$$

Whakaarohia te -3x^{7}+2x. Tauwehea te x.

$$x\left(-3x^{6}+2\right)$$

Me tuhi anō te kīanga whakatauwehe katoa. Whakarūnātia. Kāore te pūrau -3x^{6}+2 i whakatauwehea i te mea kāhore ōna pūtake whakahau.

$$\frac{3x\left(-3x^{6}+2\right)}{4}$$