Whakaoti i te 4(x-2)-1/9(3x-4)=

$$4 ( x - 2 ) - \frac { 1 } { 9 } ( 3 x - 4 ) =$$

Aromātai

$$\frac{11x}{3}-\frac{68}{9}$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te x-2.

$$4x-8-\frac{1}{9}\left(3x-4\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -\frac{1}{9} ki te 3x-4.

$$4x-8-\frac{1}{9}\times 3x-\frac{1}{9}\left(-4\right)$$

Tuhia te -\frac{1}{9}\times 3 hei hautanga kotahi.

$$4x-8+\frac{-3}{9}x-\frac{1}{9}\left(-4\right)$$

Whakahekea te hautanga \frac{-3}{9} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$4x-8-\frac{1}{3}x-\frac{1}{9}\left(-4\right)$$

Tuhia te -\frac{1}{9}\left(-4\right) hei hautanga kotahi.

$$4x-8-\frac{1}{3}x+\frac{-\left(-4\right)}{9}$$

Whakareatia te -1 ki te -4, ka 4.

$$4x-8-\frac{1}{3}x+\frac{4}{9}$$

Pahekotia te 4x me -\frac{1}{3}x, ka \frac{11}{3}x.

$$\frac{11}{3}x-8+\frac{4}{9}$$

Me tahuri te -8 ki te hautau -\frac{72}{9}.

$$\frac{11}{3}x-\frac{72}{9}+\frac{4}{9}$$

Tā te mea he rite te tauraro o -\frac{72}{9} me \frac{4}{9}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{11}{3}x+\frac{-72+4}{9}$$

Tāpirihia te -72 ki te 4, ka -68.

$$\frac{11}{3}x-\frac{68}{9}$$

Whakaroha

$$\frac{11x}{3}-\frac{68}{9}$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te x-2.

$$4x-8-\frac{1}{9}\left(3x-4\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -\frac{1}{9} ki te 3x-4.

$$4x-8-\frac{1}{9}\times 3x-\frac{1}{9}\left(-4\right)$$

Tuhia te -\frac{1}{9}\times 3 hei hautanga kotahi.

$$4x-8+\frac{-3}{9}x-\frac{1}{9}\left(-4\right)$$

Whakahekea te hautanga \frac{-3}{9} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$4x-8-\frac{1}{3}x-\frac{1}{9}\left(-4\right)$$

Tuhia te -\frac{1}{9}\left(-4\right) hei hautanga kotahi.

$$4x-8-\frac{1}{3}x+\frac{-\left(-4\right)}{9}$$

Whakareatia te -1 ki te -4, ka 4.

$$4x-8-\frac{1}{3}x+\frac{4}{9}$$

Pahekotia te 4x me -\frac{1}{3}x, ka \frac{11}{3}x.

$$\frac{11}{3}x-8+\frac{4}{9}$$

Me tahuri te -8 ki te hautau -\frac{72}{9}.

$$\frac{11}{3}x-\frac{72}{9}+\frac{4}{9}$$

Tā te mea he rite te tauraro o -\frac{72}{9} me \frac{4}{9}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{11}{3}x+\frac{-72+4}{9}$$

Tāpirihia te -72 ki te 4, ka -68.

$$\frac{11}{3}x-\frac{68}{9}$$