Whakaoti i te 1/k-r+4r/k^2-r^2+2/k+r

$$\frac { 1 } { k - r } + \frac { 4 r } { k ^ { 2 } - r ^ { 2 } } + \frac { 2 } { k + r }$$

Aromātai

$$\frac{3}{k-r}$$

Ngā Hipanga Rongoā Poto

Tauwehea te k^{2}-r^{2}.

$$\frac{1}{k-r}+\frac{4r}{\left(r+k\right)\left(-r+k\right)}+\frac{2}{k+r}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o k-r me \left(r+k\right)\left(-r+k\right) ko \left(r+k\right)\left(-r+k\right). Whakareatia \frac{1}{k-r} ki te \frac{r+k}{r+k}.

$$\frac{r+k}{\left(r+k\right)\left(-r+k\right)}+\frac{4r}{\left(r+k\right)\left(-r+k\right)}+\frac{2}{k+r}$$

Tā te mea he rite te tauraro o \frac{r+k}{\left(r+k\right)\left(-r+k\right)} me \frac{4r}{\left(r+k\right)\left(-r+k\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{r+k+4r}{\left(r+k\right)\left(-r+k\right)}+\frac{2}{k+r}$$

Whakakotahitia ngā kupu rite i r+k+4r.

$$\frac{5r+k}{\left(r+k\right)\left(-r+k\right)}+\frac{2}{k+r}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o \left(r+k\right)\left(-r+k\right) me k+r ko \left(r+k\right)\left(-r+k\right). Whakareatia \frac{2}{k+r} ki te \frac{-r+k}{-r+k}.

$$\frac{5r+k}{\left(r+k\right)\left(-r+k\right)}+\frac{2\left(-r+k\right)}{\left(r+k\right)\left(-r+k\right)}$$

Tā te mea he rite te tauraro o \frac{5r+k}{\left(r+k\right)\left(-r+k\right)} me \frac{2\left(-r+k\right)}{\left(r+k\right)\left(-r+k\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{5r+k+2\left(-r+k\right)}{\left(r+k\right)\left(-r+k\right)}$$

Mahia ngā whakarea i roto o 5r+k+2\left(-r+k\right).

$$\frac{5r+k-2r+2k}{\left(r+k\right)\left(-r+k\right)}$$

Whakakotahitia ngā kupu rite i 5r+k-2r+2k.

$$\frac{3r+3k}{\left(r+k\right)\left(-r+k\right)}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{3r+3k}{\left(r+k\right)\left(-r+k\right)}.

$$\frac{3\left(r+k\right)}{\left(r+k\right)\left(-r+k\right)}$$

Me whakakore tahi te r+k i te taurunga me te tauraro.

$$\frac{3}{-r+k}$$

Kimi Pārōnaki e ai ki k

$$-\frac{3}{\left(k-r\right)^{2}}$$