Whakaoti i te {l}{-(-3m)(m^2)-3(m^3)}{-5(-2p^4)(-p^4)}

$$\left. \begin{array} { l } { - ( - 3 m ) ( m ^ { 2 } ) - 3 ( m ^ { 3 } ) } \\ { - 5 ( - 2 p ^ { 4 } ) ( - p ^ { 4 } ) } \end{array} \right.$$

Aromātai

$$-10p^{8}$$

Ngā Upane Otinga

Ko te tauaro o -3m ko 3m.

$$3mm^{2}-3m^{3}-5\left(-2\right)p^{4}\left(-p^{4}\right)$$

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.

$$3m^{3}-3m^{3}-5\left(-2\right)p^{4}\left(-p^{4}\right)$$

Pahekotia te 3m^{3} me -3m^{3}, ka 0.

$$0-5\left(-2\right)p^{4}\left(-p^{4}\right)$$

Whakareatia te 5 ki te -2, ka -10.

$$0-\left(-10p^{4}\left(-p^{4}\right)\right)$$

Whakareatia te -10 ki te -1, ka 10.

$$0-10p^{4}p^{4}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 4 me te 4 kia riro ai te 8.

$$0-10p^{8}$$

Ko te tau i tāpiria he kore ka hua koia tonu.

$$-10p^{8}$$

Kimi Pārōnaki e ai ki p

$$-80p^{7}$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Ko te tauaro o -3m ko 3m.

$$\frac{\mathrm{d}}{\mathrm{d}p}(3mm^{2}-3m^{3}-5\left(-2\right)p^{4}\left(-p^{4}\right))$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}p}(3m^{3}-3m^{3}-5\left(-2\right)p^{4}\left(-p^{4}\right))$$

Pahekotia te 3m^{3} me -3m^{3}, ka 0.

$$\frac{\mathrm{d}}{\mathrm{d}p}(0-5\left(-2\right)p^{4}\left(-p^{4}\right))$$

Whakareatia te 5 ki te -2, ka -10.

$$\frac{\mathrm{d}}{\mathrm{d}p}(0-\left(-10p^{4}\left(-p^{4}\right)\right))$$

Whakareatia te -10 ki te -1, ka 10.

$$\frac{\mathrm{d}}{\mathrm{d}p}(0-10p^{4}p^{4})$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 4 me te 4 kia riro ai te 8.

$$\frac{\mathrm{d}}{\mathrm{d}p}(0-10p^{8})$$

Ko te tau i tāpiria he kore ka hua koia tonu.

$$\frac{\mathrm{d}}{\mathrm{d}p}(-10p^{8})$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$8\left(-10\right)p^{8-1}$$

Whakareatia 8 ki te -10.

$$-80p^{8-1}$$

Tango 1 mai i 8.

$$-80p^{7}$$