Whakaoti i te 12/100*600+300x/100*15/100(600+x)

$$\frac { 12 } { 100 } \times 600 + \frac { 300 x } { 100 } \times \frac { 15 } { 100 } ( 600 + x )$$

Aromātai

$$\frac{9\left(x\left(x+600\right)+160\right)}{20}$$

Ngā Upane Otinga

Whakahekea te hautanga \frac{12}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{3}{25}\times 600+\frac{300x}{100}\times \frac{15}{100}\left(600+x\right)$$

Tuhia te \frac{3}{25}\times 600 hei hautanga kotahi.

$$\frac{3\times 600}{25}+\frac{300x}{100}\times \frac{15}{100}\left(600+x\right)$$

Whakareatia te 3 ki te 600, ka 1800.

$$\frac{1800}{25}+\frac{300x}{100}\times \frac{15}{100}\left(600+x\right)$$

Whakawehea te 1800 ki te 25, kia riro ko 72.

$$72+\frac{300x}{100}\times \frac{15}{100}\left(600+x\right)$$

Whakawehea te 300x ki te 100, kia riro ko 3x.

$$72+3x\times \frac{15}{100}\left(600+x\right)$$

Whakahekea te hautanga \frac{15}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$72+3x\times \frac{3}{20}\left(600+x\right)$$

Tuhia te 3\times \frac{3}{20} hei hautanga kotahi.

$$72+\frac{3\times 3}{20}x\left(600+x\right)$$

Whakareatia te 3 ki te 3, ka 9.

$$72+\frac{9}{20}x\left(600+x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{9}{20}x ki te 600+x.

$$72+\frac{9}{20}x\times 600+\frac{9}{20}xx$$

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

$$72+\frac{9}{20}x\times 600+\frac{9}{20}x^{2}$$

Tuhia te \frac{9}{20}\times 600 hei hautanga kotahi.

$$72+\frac{9\times 600}{20}x+\frac{9}{20}x^{2}$$

Whakareatia te 9 ki te 600, ka 5400.

$$72+\frac{5400}{20}x+\frac{9}{20}x^{2}$$

Whakawehea te 5400 ki te 20, kia riro ko 270.

$$72+270x+\frac{9}{20}x^{2}$$

Whakaroha

$$\frac{9x^{2}}{20}+270x+72$$

Ngā Upane Otinga

Whakahekea te hautanga \frac{12}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{3}{25}\times 600+\frac{300x}{100}\times \frac{15}{100}\left(600+x\right)$$

Tuhia te \frac{3}{25}\times 600 hei hautanga kotahi.

$$\frac{3\times 600}{25}+\frac{300x}{100}\times \frac{15}{100}\left(600+x\right)$$

Whakareatia te 3 ki te 600, ka 1800.

$$\frac{1800}{25}+\frac{300x}{100}\times \frac{15}{100}\left(600+x\right)$$

Whakawehea te 1800 ki te 25, kia riro ko 72.

$$72+\frac{300x}{100}\times \frac{15}{100}\left(600+x\right)$$

Whakawehea te 300x ki te 100, kia riro ko 3x.

$$72+3x\times \frac{15}{100}\left(600+x\right)$$

Whakahekea te hautanga \frac{15}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$72+3x\times \frac{3}{20}\left(600+x\right)$$

Tuhia te 3\times \frac{3}{20} hei hautanga kotahi.

$$72+\frac{3\times 3}{20}x\left(600+x\right)$$

Whakareatia te 3 ki te 3, ka 9.

$$72+\frac{9}{20}x\left(600+x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{9}{20}x ki te 600+x.

$$72+\frac{9}{20}x\times 600+\frac{9}{20}xx$$

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

$$72+\frac{9}{20}x\times 600+\frac{9}{20}x^{2}$$

Tuhia te \frac{9}{20}\times 600 hei hautanga kotahi.

$$72+\frac{9\times 600}{20}x+\frac{9}{20}x^{2}$$

Whakareatia te 9 ki te 600, ka 5400.

$$72+\frac{5400}{20}x+\frac{9}{20}x^{2}$$

Whakawehea te 5400 ki te 20, kia riro ko 270.

$$72+270x+\frac{9}{20}x^{2}$$