Whakaoti i te (-3a^{2}x)^3*(-ax)^2-(-ax)^5(3a)^3

$$( - 3 a ^ { 2 } x ) ^ { 3 } \cdot ( - a x ) ^ { 2 } - ( - a x ) ^ { 5 } ( 3 a ) ^ { 3 }$$

Aromātai

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Ngā Upane Otinga

Whakarohaina te \left(-3a^{2}x\right)^{3}.

$$\left(-3\right)^{3}\left(a^{2}\right)^{3}x^{3}\left(\left(-a\right)x\right)^{2}-\left(\left(-a\right)x\right)^{5}\times \left(3a\right)^{3}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 3 kia riro ai te 6.

$$\left(-3\right)^{3}a^{6}x^{3}\left(\left(-a\right)x\right)^{2}-\left(\left(-a\right)x\right)^{5}\times \left(3a\right)^{3}$$

Tātaihia te -3 mā te pū o 3, kia riro ko -27.

$$-27a^{6}x^{3}\left(\left(-a\right)x\right)^{2}-\left(\left(-a\right)x\right)^{5}\times \left(3a\right)^{3}$$

Whakarohaina te \left(\left(-a\right)x\right)^{2}.

$$-27a^{6}x^{3}\left(-a\right)^{2}x^{2}-\left(\left(-a\right)x\right)^{5}\times \left(3a\right)^{3}$$

Tātaihia te -a mā te pū o 2, kia riro ko a^{2}.

$$-27a^{6}x^{3}a^{2}x^{2}-\left(\left(-a\right)x\right)^{5}\times \left(3a\right)^{3}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 6 me te 2 kia riro ai te 8.

$$-27a^{8}x^{3}x^{2}-\left(\left(-a\right)x\right)^{5}\times \left(3a\right)^{3}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te 2 kia riro ai te 5.

$$-27a^{8}x^{5}-\left(\left(-a\right)x\right)^{5}\times \left(3a\right)^{3}$$

Whakarohaina te \left(\left(-a\right)x\right)^{5}.

$$-27a^{8}x^{5}-\left(-a\right)^{5}x^{5}\times \left(3a\right)^{3}$$

Whakarohaina te \left(3a\right)^{3}.

$$-27a^{8}x^{5}-\left(-a\right)^{5}x^{5}\times 3^{3}a^{3}$$

Tātaihia te 3 mā te pū o 3, kia riro ko 27.

$$-27a^{8}x^{5}-\left(-a\right)^{5}x^{5}\times 27a^{3}$$

Whakarohaina te \left(-a\right)^{5}.

$$-27a^{8}x^{5}-\left(-1\right)^{5}a^{5}x^{5}\times 27a^{3}$$

Tātaihia te -1 mā te pū o 5, kia riro ko -1.

$$-27a^{8}x^{5}-\left(-a^{5}x^{5}\times 27a^{3}\right)$$

Whakareatia te -1 ki te -1, ka 1.

$$-27a^{8}x^{5}+a^{5}x^{5}\times 27a^{3}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 5 me te 3 kia riro ai te 8.

$$-27a^{8}x^{5}+a^{8}x^{5}\times 27$$

Pahekotia te -27a^{8}x^{5} me a^{8}x^{5}\times 27, ka 0.

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Tauwehe

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Ngā Upane Otinga

Whakatauwehea atu te kīanga pātahi \left(ax\right)^{2} mā te whakamahi i te āhuatanga tātai tohatoha.

$$\left(ax\right)^{2}\left(-27x^{3}a^{6}+27x^{3}a^{6}\right)$$

Whakaarohia te -27x^{3}a^{6}+27x^{3}a^{6}. Whakarūnātia.

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