Whakaoti i te x(1/4a-3/2x)-5/7a(2/10x-frac{7}{3}a)-frac{10}{9}(-frac{9}{20}x^2+frac{3}{2}a^2)+frac{5}{42}ax=

$$x ( \frac { 1 } { 4 } a - \frac { 3 } { 2 } x ) - \frac { 5 } { 7 } a ( \frac { 2 } { 10 } x - \frac { 7 } { 3 } a ) - \frac { 10 } { 9 } ( - \frac { 9 } { 20 } x ^ { 2 } + \frac { 3 } { 2 } a ^ { 2 } ) + \frac { 5 } { 42 } a x =$$

Aromātai

$$\frac{19ax}{84}-x^{2}$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te x ki te \frac{1}{4}a-\frac{3}{2}x.

$$\frac{1}{4}xa-\frac{3}{2}x^{2}-\frac{5}{7}a\left(\frac{2}{10}x-\frac{7}{3}a\right)-\frac{10}{9}\left(-\frac{9}{20}x^{2}+\frac{3}{2}a^{2}\right)+\frac{5}{42}ax$$

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

$$\frac{1}{4}xa-\frac{3}{2}x^{2}-\frac{5}{7}a\left(\frac{1}{5}x-\frac{7}{3}a\right)-\frac{10}{9}\left(-\frac{9}{20}x^{2}+\frac{3}{2}a^{2}\right)+\frac{5}{42}ax$$

Whakamahia te āhuatanga tohatoha hei whakarea te -\frac{10}{9} ki te -\frac{9}{20}x^{2}+\frac{3}{2}a^{2}.

$$\frac{1}{4}xa-\frac{3}{2}x^{2}-\frac{5}{7}a\left(\frac{1}{5}x-\frac{7}{3}a\right)+\frac{1}{2}x^{2}-\frac{5}{3}a^{2}+\frac{5}{42}ax$$

Whakamahia te āhuatanga tohatoha hei whakarea te -\frac{5}{7}a ki te \frac{1}{5}x-\frac{7}{3}a.

$$\frac{1}{4}xa-\frac{3}{2}x^{2}-\frac{1}{7}ax+\frac{5}{3}a^{2}+\frac{1}{2}x^{2}-\frac{5}{3}a^{2}+\frac{5}{42}ax$$

Pahekotia te \frac{1}{4}xa me -\frac{1}{7}ax, ka \frac{3}{28}xa.

$$\frac{3}{28}xa-\frac{3}{2}x^{2}+\frac{5}{3}a^{2}+\frac{1}{2}x^{2}-\frac{5}{3}a^{2}+\frac{5}{42}ax$$

Pahekotia te -\frac{3}{2}x^{2} me \frac{1}{2}x^{2}, ka -x^{2}.

$$\frac{3}{28}xa-x^{2}+\frac{5}{3}a^{2}-\frac{5}{3}a^{2}+\frac{5}{42}ax$$

Pahekotia te \frac{5}{3}a^{2} me -\frac{5}{3}a^{2}, ka 0.

$$\frac{3}{28}xa-x^{2}+\frac{5}{42}ax$$

Pahekotia te \frac{3}{28}xa me \frac{5}{42}ax, ka \frac{19}{84}xa.

$$\frac{19}{84}xa-x^{2}$$

Whakaroha

$$\frac{19ax}{84}-x^{2}$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te x ki te \frac{1}{4}a-\frac{3}{2}x.

$$\frac{1}{4}xa-\frac{3}{2}x^{2}-\frac{5}{7}a\left(\frac{2}{10}x-\frac{7}{3}a\right)-\frac{10}{9}\left(-\frac{9}{20}x^{2}+\frac{3}{2}a^{2}\right)+\frac{5}{42}ax$$

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

$$\frac{1}{4}xa-\frac{3}{2}x^{2}-\frac{5}{7}a\left(\frac{1}{5}x-\frac{7}{3}a\right)-\frac{10}{9}\left(-\frac{9}{20}x^{2}+\frac{3}{2}a^{2}\right)+\frac{5}{42}ax$$

Whakamahia te āhuatanga tohatoha hei whakarea te -\frac{10}{9} ki te -\frac{9}{20}x^{2}+\frac{3}{2}a^{2}.

$$\frac{1}{4}xa-\frac{3}{2}x^{2}-\frac{5}{7}a\left(\frac{1}{5}x-\frac{7}{3}a\right)+\frac{1}{2}x^{2}-\frac{5}{3}a^{2}+\frac{5}{42}ax$$

Whakamahia te āhuatanga tohatoha hei whakarea te -\frac{5}{7}a ki te \frac{1}{5}x-\frac{7}{3}a.

$$\frac{1}{4}xa-\frac{3}{2}x^{2}-\frac{1}{7}ax+\frac{5}{3}a^{2}+\frac{1}{2}x^{2}-\frac{5}{3}a^{2}+\frac{5}{42}ax$$

Pahekotia te \frac{1}{4}xa me -\frac{1}{7}ax, ka \frac{3}{28}xa.

$$\frac{3}{28}xa-\frac{3}{2}x^{2}+\frac{5}{3}a^{2}+\frac{1}{2}x^{2}-\frac{5}{3}a^{2}+\frac{5}{42}ax$$

Pahekotia te -\frac{3}{2}x^{2} me \frac{1}{2}x^{2}, ka -x^{2}.

$$\frac{3}{28}xa-x^{2}+\frac{5}{3}a^{2}-\frac{5}{3}a^{2}+\frac{5}{42}ax$$

Pahekotia te \frac{5}{3}a^{2} me -\frac{5}{3}a^{2}, ka 0.

$$\frac{3}{28}xa-x^{2}+\frac{5}{42}ax$$

Pahekotia te \frac{3}{28}xa me \frac{5}{42}ax, ka \frac{19}{84}xa.

$$\frac{19}{84}xa-x^{2}$$