Whakaoti i te 4+8+2xleft(3+10+2x+7div8right)

$$4+8+2x \left( 3+10+2x+7 \div 8 \right)$$

Aromātai

$$4x^{2}+\frac{111x}{4}+12$$

Ngā Upane Otinga

Tāpirihia te 4 ki te 8, ka 12.

$$12+2x\left(3+10+2x+\frac{7}{8}\right)$$

Tāpirihia te 3 ki te 10, ka 13.

$$12+2x\left(13+2x+\frac{7}{8}\right)$$

Me tahuri te 13 ki te hautau \frac{104}{8}.

$$12+2x\left(\frac{104}{8}+2x+\frac{7}{8}\right)$$

Tā te mea he rite te tauraro o \frac{104}{8} me \frac{7}{8}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$12+2x\left(\frac{104+7}{8}+2x\right)$$

Tāpirihia te 104 ki te 7, ka 111.

$$12+2x\left(\frac{111}{8}+2x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2x ki te \frac{111}{8}+2x.

$$12+2x\times \frac{111}{8}+4x^{2}$$

Tuhia te 2\times \frac{111}{8} hei hautanga kotahi.

$$12+\frac{2\times 111}{8}x+4x^{2}$$

Whakareatia te 2 ki te 111, ka 222.

$$12+\frac{222}{8}x+4x^{2}$$

Whakahekea te hautanga \frac{222}{8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$12+\frac{111}{4}x+4x^{2}$$

Whakaroha

$$4x^{2}+\frac{111x}{4}+12$$

Ngā Upane Otinga

Tāpirihia te 4 ki te 8, ka 12.

$$12+2x\left(3+10+2x+\frac{7}{8}\right)$$

Tāpirihia te 3 ki te 10, ka 13.

$$12+2x\left(13+2x+\frac{7}{8}\right)$$

Me tahuri te 13 ki te hautau \frac{104}{8}.

$$12+2x\left(\frac{104}{8}+2x+\frac{7}{8}\right)$$

Tā te mea he rite te tauraro o \frac{104}{8} me \frac{7}{8}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$12+2x\left(\frac{104+7}{8}+2x\right)$$

Tāpirihia te 104 ki te 7, ka 111.

$$12+2x\left(\frac{111}{8}+2x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2x ki te \frac{111}{8}+2x.

$$12+2x\times \frac{111}{8}+4x^{2}$$

Tuhia te 2\times \frac{111}{8} hei hautanga kotahi.

$$12+\frac{2\times 111}{8}x+4x^{2}$$

Whakareatia te 2 ki te 111, ka 222.

$$12+\frac{222}{8}x+4x^{2}$$

Whakahekea te hautanga \frac{222}{8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$12+\frac{111}{4}x+4x^{2}$$