Whakaoti i te 180(120-3/5x)x+60(12000-(120-3/5x)x)

$$180(120- \frac{ 3 }{ 5 } x)x+60(12000-(120- \frac{ 3 }{ 5 } x)x)$$

Aromātai

$$72\left(x\left(200-x\right)+10000\right)$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te 180 ki te 120-\frac{3}{5}x.

$$\left(21600+180\left(-\frac{3}{5}\right)x\right)x+60\left(12000-\left(120-\frac{3}{5}x\right)x\right)$$

Tuhia te 180\left(-\frac{3}{5}\right) hei hautanga kotahi.

$$\left(21600+\frac{180\left(-3\right)}{5}x\right)x+60\left(12000-\left(120-\frac{3}{5}x\right)x\right)$$

Whakareatia te 180 ki te -3, ka -540.

$$\left(21600+\frac{-540}{5}x\right)x+60\left(12000-\left(120-\frac{3}{5}x\right)x\right)$$

Whakawehea te -540 ki te 5, kia riro ko -108.

$$\left(21600-108x\right)x+60\left(12000-\left(120-\frac{3}{5}x\right)x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 21600-108x ki te x.

$$21600x-108x^{2}+60\left(12000-\left(120-\frac{3}{5}x\right)x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 120-\frac{3}{5}x ki te x.

$$21600x-108x^{2}+60\left(12000-\left(120x-\frac{3}{5}xx\right)\right)$$

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

$$21600x-108x^{2}+60\left(12000-\left(120x-\frac{3}{5}x^{2}\right)\right)$$

Hei kimi i te tauaro o 120x-\frac{3}{5}x^{2}, kimihia te tauaro o ia taurangi.

$$21600x-108x^{2}+60\left(12000-120x-\left(-\frac{3}{5}x^{2}\right)\right)$$

Ko te tauaro o -\frac{3}{5}x^{2} ko \frac{3}{5}x^{2}.

$$21600x-108x^{2}+60\left(12000-120x+\frac{3}{5}x^{2}\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 60 ki te 12000-120x+\frac{3}{5}x^{2}.

$$21600x-108x^{2}[phone]x+60\times \frac{3}{5}x^{2}$$

Tuhia te 60\times \frac{3}{5} hei hautanga kotahi.

$$21600x-108x^{2}[phone]x+\frac{60\times 3}{5}x^{2}$$

Whakareatia te 60 ki te 3, ka 180.

$$21600x-108x^{2}[phone]x+\frac{180}{5}x^{2}$$

Whakawehea te 180 ki te 5, kia riro ko 36.

$$21600x-108x^{2}[phone]x+36x^{2}$$

Pahekotia te 21600x me -7200x, ka 14400x.

$$14400x-108x^{2}+720000+36x^{2}$$

Pahekotia te -108x^{2} me 36x^{2}, ka -72x^{2}.

$$14400x-72x^{2}+720000$$

Whakaroha

$$720000+14400x-72x^{2}$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te 180 ki te 120-\frac{3}{5}x.

$$\left(21600+180\left(-\frac{3}{5}\right)x\right)x+60\left(12000-\left(120-\frac{3}{5}x\right)x\right)$$

Tuhia te 180\left(-\frac{3}{5}\right) hei hautanga kotahi.

$$\left(21600+\frac{180\left(-3\right)}{5}x\right)x+60\left(12000-\left(120-\frac{3}{5}x\right)x\right)$$

Whakareatia te 180 ki te -3, ka -540.

$$\left(21600+\frac{-540}{5}x\right)x+60\left(12000-\left(120-\frac{3}{5}x\right)x\right)$$

Whakawehea te -540 ki te 5, kia riro ko -108.

$$\left(21600-108x\right)x+60\left(12000-\left(120-\frac{3}{5}x\right)x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 21600-108x ki te x.

$$21600x-108x^{2}+60\left(12000-\left(120-\frac{3}{5}x\right)x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 120-\frac{3}{5}x ki te x.

$$21600x-108x^{2}+60\left(12000-\left(120x-\frac{3}{5}xx\right)\right)$$

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

$$21600x-108x^{2}+60\left(12000-\left(120x-\frac{3}{5}x^{2}\right)\right)$$

Hei kimi i te tauaro o 120x-\frac{3}{5}x^{2}, kimihia te tauaro o ia taurangi.

$$21600x-108x^{2}+60\left(12000-120x-\left(-\frac{3}{5}x^{2}\right)\right)$$

Ko te tauaro o -\frac{3}{5}x^{2} ko \frac{3}{5}x^{2}.

$$21600x-108x^{2}+60\left(12000-120x+\frac{3}{5}x^{2}\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 60 ki te 12000-120x+\frac{3}{5}x^{2}.

$$21600x-108x^{2}[phone]x+60\times \frac{3}{5}x^{2}$$

Tuhia te 60\times \frac{3}{5} hei hautanga kotahi.

$$21600x-108x^{2}[phone]x+\frac{60\times 3}{5}x^{2}$$

Whakareatia te 60 ki te 3, ka 180.

$$21600x-108x^{2}[phone]x+\frac{180}{5}x^{2}$$

Whakawehea te 180 ki te 5, kia riro ko 36.

$$21600x-108x^{2}[phone]x+36x^{2}$$

Pahekotia te 21600x me -7200x, ka 14400x.

$$14400x-108x^{2}+720000+36x^{2}$$

Pahekotia te -108x^{2} me 36x^{2}, ka -72x^{2}.

$$14400x-72x^{2}+720000$$