Whakaoti i te t*4/5(30-4t)*1/2

$$t \cdot \frac { 4 } { 5 } ( 30 - 4 t ) \cdot \frac { 1 } { 2 }$$

Aromātai

$$\frac{4t\left(15-2t\right)}{5}$$

Ngā Upane Otinga

Me whakarea te \frac{4}{5} ki te \frac{1}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$t\times \frac{4\times 1}{5\times 2}\left(30-4t\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{4\times 1}{5\times 2}.

$$t\times \frac{4}{10}\left(30-4t\right)$$

Whakahekea te hautanga \frac{4}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$t\times \frac{2}{5}\left(30-4t\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te t\times \frac{2}{5} ki te 30-4t.

$$t\times \frac{2}{5}\times 30+t\times \frac{2}{5}\left(-4\right)t$$

Whakareatia te t ki te t, ka t^{2}.

$$t\times \frac{2}{5}\times 30+t^{2}\times \frac{2}{5}\left(-4\right)$$

Tuhia te \frac{2}{5}\times 30 hei hautanga kotahi.

$$t\times \frac{2\times 30}{5}+t^{2}\times \frac{2}{5}\left(-4\right)$$

Whakareatia te 2 ki te 30, ka 60.

$$t\times \frac{60}{5}+t^{2}\times \frac{2}{5}\left(-4\right)$$

Whakawehea te 60 ki te 5, kia riro ko 12.

$$t\times 12+t^{2}\times \frac{2}{5}\left(-4\right)$$

Tuhia te \frac{2}{5}\left(-4\right) hei hautanga kotahi.

$$t\times 12+t^{2}\times \frac{2\left(-4\right)}{5}$$

Whakareatia te 2 ki te -4, ka -8.

$$t\times 12+t^{2}\times \frac{-8}{5}$$

Ka taea te hautanga \frac{-8}{5} te tuhi anō ko -\frac{8}{5} mā te tango i te tohu tōraro.

$$t\times 12+t^{2}\left(-\frac{8}{5}\right)$$

Whakaroha

$$-\frac{8t^{2}}{5}+12t$$

Ngā Upane Otinga

Me whakarea te \frac{4}{5} ki te \frac{1}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$t\times \frac{4\times 1}{5\times 2}\left(30-4t\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{4\times 1}{5\times 2}.

$$t\times \frac{4}{10}\left(30-4t\right)$$

Whakahekea te hautanga \frac{4}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$t\times \frac{2}{5}\left(30-4t\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te t\times \frac{2}{5} ki te 30-4t.

$$t\times \frac{2}{5}\times 30+t\times \frac{2}{5}\left(-4\right)t$$

Whakareatia te t ki te t, ka t^{2}.

$$t\times \frac{2}{5}\times 30+t^{2}\times \frac{2}{5}\left(-4\right)$$

Tuhia te \frac{2}{5}\times 30 hei hautanga kotahi.

$$t\times \frac{2\times 30}{5}+t^{2}\times \frac{2}{5}\left(-4\right)$$

Whakareatia te 2 ki te 30, ka 60.

$$t\times \frac{60}{5}+t^{2}\times \frac{2}{5}\left(-4\right)$$

Whakawehea te 60 ki te 5, kia riro ko 12.

$$t\times 12+t^{2}\times \frac{2}{5}\left(-4\right)$$

Tuhia te \frac{2}{5}\left(-4\right) hei hautanga kotahi.

$$t\times 12+t^{2}\times \frac{2\left(-4\right)}{5}$$

Whakareatia te 2 ki te -4, ka -8.

$$t\times 12+t^{2}\times \frac{-8}{5}$$

Ka taea te hautanga \frac{-8}{5} te tuhi anō ko -\frac{8}{5} mā te tango i te tohu tōraro.

$$t\times 12+t^{2}\left(-\frac{8}{5}\right)$$