Whakaoti i te 28a-(35a+23b)+45b-(21b-a)+6a=

$$28 a - ( 35 a + 23 b ) + 45 b - ( 21 b - a ) + 6 a =$$

Aromātai

$$b$$

Ngā Upane Otinga

Hei kimi i te tauaro o 35a+23b, kimihia te tauaro o ia taurangi.

$$28a-35a-23b+45b-\left(21b-a\right)+6a$$

Pahekotia te 28a me -35a, ka -7a.

$$-7a-23b+45b-\left(21b-a\right)+6a$$

Pahekotia te -23b me 45b, ka 22b.

$$-7a+22b-\left(21b-a\right)+6a$$

Hei kimi i te tauaro o 21b-a, kimihia te tauaro o ia taurangi.

$$-7a+22b-21b-\left(-a\right)+6a$$

Ko te tauaro o -a ko a.

$$-7a+22b-21b+a+6a$$

Pahekotia te 22b me -21b, ka b.

$$-7a+b+a+6a$$

Pahekotia te -7a me a, ka -6a.

$$-6a+b+6a$$

Pahekotia te -6a me 6a, ka 0.

$$b$$

Kimi Pārōnaki e ai ki b

$$1$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Hei kimi i te tauaro o 35a+23b, kimihia te tauaro o ia taurangi.

$$\frac{\mathrm{d}}{\mathrm{d}b}(28a-35a-23b+45b-\left(21b-a\right)+6a)$$

Pahekotia te 28a me -35a, ka -7a.

$$\frac{\mathrm{d}}{\mathrm{d}b}(-7a-23b+45b-\left(21b-a\right)+6a)$$

Pahekotia te -23b me 45b, ka 22b.

$$\frac{\mathrm{d}}{\mathrm{d}b}(-7a+22b-\left(21b-a\right)+6a)$$

Hei kimi i te tauaro o 21b-a, kimihia te tauaro o ia taurangi.

$$\frac{\mathrm{d}}{\mathrm{d}b}(-7a+22b-21b-\left(-a\right)+6a)$$

Ko te tauaro o -a ko a.

$$\frac{\mathrm{d}}{\mathrm{d}b}(-7a+22b-21b+a+6a)$$

Pahekotia te 22b me -21b, ka b.

$$\frac{\mathrm{d}}{\mathrm{d}b}(-7a+b+a+6a)$$

Pahekotia te -7a me a, ka -6a.

$$\frac{\mathrm{d}}{\mathrm{d}b}(-6a+b+6a)$$

Pahekotia te -6a me 6a, ka 0.

$$\frac{\mathrm{d}}{\mathrm{d}b}(b)$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$b^{1-1}$$

Tango 1 mai i 1.

$$b^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$1$$