Whakaoti i te 4p^3/5+7-3p^3/10-11=

$$\frac { 4 p ^ { 3 } } { 5 } + 7 - \frac { 3 p ^ { 3 } } { 10 } - 11 =$$

Aromātai

$$\frac{p^{3}}{2}-4$$

Ngā Hipanga Rongoā Poto

Tangohia te 11 i te 7, ka -4.

$$\frac{4p^{3}}{5}-4-\frac{3p^{3}}{10}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 4 ki te \frac{5}{5}.

$$\frac{4p^{3}}{5}-\frac{4\times 5}{5}-\frac{3p^{3}}{10}$$

Tā te mea he rite te tauraro o \frac{4p^{3}}{5} me \frac{4\times 5}{5}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{4p^{3}-4\times 5}{5}-\frac{3p^{3}}{10}$$

Mahia ngā whakarea i roto o 4p^{3}-4\times 5.

$$\frac{4p^{3}-20}{5}-\frac{3p^{3}}{10}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 5 me 10 ko 10. Whakareatia \frac{4p^{3}-20}{5} ki te \frac{2}{2}.

$$\frac{2\left(4p^{3}-20\right)}{10}-\frac{3p^{3}}{10}$$

Tā te mea he rite te tauraro o \frac{2\left(4p^{3}-20\right)}{10} me \frac{3p^{3}}{10}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{2\left(4p^{3}-20\right)-3p^{3}}{10}$$

Mahia ngā whakarea i roto o 2\left(4p^{3}-20\right)-3p^{3}.

$$\frac{8p^{3}-40-3p^{3}}{10}$$

Whakakotahitia ngā kupu rite i 8p^{3}-40-3p^{3}.

$$\frac{5p^{3}-40}{10}$$

Tauwehe

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

Ngā Upane Otinga

Tauwehea te \frac{1}{10}.

$$\frac{5p^{3}-40}{10}$$

Whakaarohia te 8p^{3}+70-3p^{3}-110. Whakarea ka paheko i ngā kīanga tau ōrite.

$$5p^{3}-40$$

Whakaarohia te 5p^{3}-40. Tauwehea te 5.

$$5\left(p^{3}-8\right)$$

Whakaarohia te p^{3}-8. Tuhia anō te p^{3}-8 hei p^{3}-2^{3}. Ka taea te rerekētanga o ngā pūtoru te whakatauwehe mā te whakamahi i te ture: a^{3}-b^{3}=\left(a-b\right)\left(a^{2}+ab+b^{2}\right).

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

Me tuhi anō te kīanga whakatauwehe katoa.

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