Whakaoti i te a/a^2-4/frac{a^2{a+2}}=

$$\frac { \frac { a } { a ^ { 2 } - 4 } } { \frac { a ^ { 2 } } { a + 2 } } =$$

Aromātai

$$\frac{1}{a\left(a-2\right)}$$

Ngā Hipanga Rongoā Poto

Whakawehe \frac{a}{a^{2}-4} ki te \frac{a^{2}}{a+2} mā te whakarea \frac{a}{a^{2}-4} ki te tau huripoki o \frac{a^{2}}{a+2}.

$$\frac{a\left(a+2\right)}{\left(a^{2}-4\right)a^{2}}$$

Me whakakore tahi te a i te taurunga me te tauraro.

$$\frac{a+2}{a\left(a^{2}-4\right)}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

$$\frac{a+2}{a\left(a-2\right)\left(a+2\right)}$$

Me whakakore tahi te a+2 i te taurunga me te tauraro.

$$\frac{1}{a\left(a-2\right)}$$

Me whakaroha te kīanga.

$$\frac{1}{a^{2}-2a}$$

Kimi Pārōnaki e ai ki a

$$\frac{2\left(1-a\right)}{\left(a\left(a-2\right)\right)^{2}}$$

Ngā Upane e Whakamahi ana i te Ture Mekameka

Whakawehe \frac{a}{a^{2}-4} ki te \frac{a^{2}}{a+2} mā te whakarea \frac{a}{a^{2}-4} ki te tau huripoki o \frac{a^{2}}{a+2}.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a\left(a+2\right)}{\left(a^{2}-4\right)a^{2}})$$

Me whakakore tahi te a i te taurunga me te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a+2}{a\left(a^{2}-4\right)})$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{a+2}{a\left(a^{2}-4\right)}.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a+2}{a\left(a-2\right)\left(a+2\right)})$$

Me whakakore tahi te a+2 i te taurunga me te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{1}{a\left(a-2\right)})$$

Whakamahia te āhuatanga tohatoha hei whakarea te a ki te a-2.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{1}{a^{2}-2a})$$

Mēnā ko F te hanganga o ngā pānga e rua e taea ana te pārōnaki f\left(u\right) me u=g\left(x\right), arā, mēnā ko F\left(x\right)=f\left(g\left(x\right)\right), ko te pārōnaki o F te pārōnaki o f e ai ki u whakareatia te pārōnaki o g e ai ki x, arā, \frac{\mathrm{d}}{\mathrm{d}x}(F)\left(x\right)=\frac{\mathrm{d}}{\mathrm{d}x}(f)\left(g\left(x\right)\right)\frac{\mathrm{d}}{\mathrm{d}x}(g)\left(x\right).

$$-\left(a^{2}-2a^{1}\right)^{-1-1}\frac{\mathrm{d}}{\mathrm{d}a}(a^{2}-2a^{1})$$

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}.

$$-\left(a^{2}-2a^{1}\right)^{-2}\left(2a^{2-1}-2a^{1-1}\right)$$

Whakarūnātia.

$$\left(a^{2}-2a^{1}\right)^{-2}\left(-2a^{1}+2a^{0}\right)$$

Mō tētahi kupu t, t^{1}=t.

$$\left(a^{2}-2a\right)^{-2}\left(-2a+2a^{0}\right)$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$\left(a^{2}-2a\right)^{-2}\left(-2a+2\times 1\right)$$

Mō tētahi kupu t, t\times 1=t me 1t=t.

$$\left(a^{2}-2a\right)^{-2}\left(-2a+2\right)$$