Whakaoti i te 4a^2b*(-ab^2)*5ab-8a^4b^4=

$$4 a ^ { 2 } b \cdot ( - a b ^ { 2 } ) \cdot 5 a b - 8 a ^ { 4 } b ^ { 4 } =$$

Aromātai

$$-28\left(ab\right)^{4}$$

Ngā Upane Otinga

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

$$4a^{3}b\left(-a\right)b^{2}\times 5b-8a^{4}b^{4}$$

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.

$$4a^{3}b^{3}\left(-a\right)\times 5b-8a^{4}b^{4}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te 1 kia riro ai te 4.

$$4a^{3}b^{4}\left(-a\right)\times 5-8a^{4}b^{4}$$

Whakareatia te 4 ki te 5, ka 20.

$$20a^{3}b^{4}\left(-a\right)-8a^{4}b^{4}$$

Whakareatia te 20 ki te -1, ka -20.

$$-20a^{3}b^{4}a-8a^{4}b^{4}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te 1 kia riro ai te 4.

$$-20a^{4}b^{4}-8a^{4}b^{4}$$

Pahekotia te -20a^{4}b^{4} me -8a^{4}b^{4}, ka -28a^{4}b^{4}.

$$-28a^{4}b^{4}$$

Kimi Pārōnaki e ai ki a

$$-112a^{3}b^{4}$$

Ngā Upane e Whakamahi ana i te Ture Pārōnaki mō te Tapeke

Ko te pārōnaki o tētahi pūrau ko te tapeke o ngā pārōnaki o ōna kīanga tau. Ko te pārōnaki o tētahi kīanga tau pūmau ko 0. Ko te pārōnaki o te ax^{n} ko te nax^{n-1}.

$$2\left(-20a^{2}b^{4}\right)a^{2-1}+4\left(-8b^{4}\right)a^{4-1}$$

Whakareatia 2 ki te 4\times 5b\left(-1\right)ab^{2}ab.

$$\left(-40a^{2}b^{4}\right)a^{2-1}+4\left(-8b^{4}\right)a^{4-1}$$

Tango 1 mai i 2.

$$\left(-40a^{2}b^{4}\right)a^{1}+4\left(-8b^{4}\right)a^{4-1}$$

Whakareatia 4 ki te -8b^{4}.

$$\left(-40a^{2}b^{4}\right)a^{1}+\left(-32b^{4}\right)a^{4-1}$$

Tango 1 mai i 4.

$$\left(-40a^{2}b^{4}\right)a^{1}+\left(-32b^{4}\right)a^{3}$$

Mō tētahi kupu t, t^{1}=t.

$$\left(-40a^{2}b^{4}\right)a+\left(-32b^{4}\right)a^{3}$$