Whakaoti i te 25/4-r^2/9

$$\frac { 25 } { 4 } - \frac { r ^ { 2 } } { 9 }$$

Aromātai

$$-\frac{r^{2}}{9}+\frac{25}{4}$$

Ngā Hipanga Rongoā Poto

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 4 me 9 ko 36. Whakareatia \frac{25}{4} ki te \frac{9}{9}. Whakareatia \frac{r^{2}}{9} ki te \frac{4}{4}.

$$\frac{25\times 9}{36}-\frac{4r^{2}}{36}$$

Tā te mea he rite te tauraro o \frac{25\times 9}{36} me \frac{4r^{2}}{36}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{25\times 9-4r^{2}}{36}$$

Mahia ngā whakarea i roto o 25\times 9-4r^{2}.

$$\frac{225-4r^{2}}{36}$$

Tauwehe

$$\frac{\left(-2r-15\right)\left(2r-15\right)}{36}$$

Ngā Upane Otinga

Tauwehea te \frac{1}{36}.

$$\frac{225-4r^{2}}{36}$$

Whakaarohia te 225-4r^{2}. Tuhia anō te 225-4r^{2} hei 15^{2}-\left(2r\right)^{2}. Ka taea te rerekētanga o ngā pūrua te whakatauwehe mā te ture: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(15-2r\right)\left(15+2r\right)$$

Whakaraupapatia anō ngā kīanga tau.

$$\left(-2r+15\right)\left(2r+15\right)$$

Me tuhi anō te kīanga whakatauwehe katoa.

$$\frac{\left(-2r+15\right)\left(2r+15\right)}{36}$$