Whakaoti i te left(2x+1/3right)left(3x+2/3right)

$$\left( 2x+ \frac{ 1 }{ 3 } \right) \left( 3x+ \frac{ 2 }{ 3 } \right)$$

Aromātai

$$6x^{2}+\frac{7x}{3}+\frac{2}{9}$$

Ngā Upane Otinga

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o 2x+\frac{1}{3} ki ia tau o 3x+\frac{2}{3}.

$$6x^{2}+2x\times \frac{2}{3}+\frac{1}{3}\times 3x+\frac{1}{3}\times \frac{2}{3}$$

Tuhia te 2\times \frac{2}{3} hei hautanga kotahi.

$$6x^{2}+\frac{2\times 2}{3}x+\frac{1}{3}\times 3x+\frac{1}{3}\times \frac{2}{3}$$

Whakareatia te 2 ki te 2, ka 4.

$$6x^{2}+\frac{4}{3}x+\frac{1}{3}\times 3x+\frac{1}{3}\times \frac{2}{3}$$

Me whakakore te 3 me te 3.

$$6x^{2}+\frac{4}{3}x+x+\frac{1}{3}\times \frac{2}{3}$$

Pahekotia te \frac{4}{3}x me x, ka \frac{7}{3}x.

$$6x^{2}+\frac{7}{3}x+\frac{1}{3}\times \frac{2}{3}$$

Me whakarea te \frac{1}{3} ki te \frac{2}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$6x^{2}+\frac{7}{3}x+\frac{1\times 2}{3\times 3}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 2}{3\times 3}.

$$6x^{2}+\frac{7}{3}x+\frac{2}{9}$$

Whakaroha

$$6x^{2}+\frac{7x}{3}+\frac{2}{9}$$

Ngā Upane Otinga

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o 2x+\frac{1}{3} ki ia tau o 3x+\frac{2}{3}.

$$6x^{2}+2x\times \frac{2}{3}+\frac{1}{3}\times 3x+\frac{1}{3}\times \frac{2}{3}$$

Tuhia te 2\times \frac{2}{3} hei hautanga kotahi.

$$6x^{2}+\frac{2\times 2}{3}x+\frac{1}{3}\times 3x+\frac{1}{3}\times \frac{2}{3}$$

Whakareatia te 2 ki te 2, ka 4.

$$6x^{2}+\frac{4}{3}x+\frac{1}{3}\times 3x+\frac{1}{3}\times \frac{2}{3}$$

Me whakakore te 3 me te 3.

$$6x^{2}+\frac{4}{3}x+x+\frac{1}{3}\times \frac{2}{3}$$

Pahekotia te \frac{4}{3}x me x, ka \frac{7}{3}x.

$$6x^{2}+\frac{7}{3}x+\frac{1}{3}\times \frac{2}{3}$$

Me whakarea te \frac{1}{3} ki te \frac{2}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$6x^{2}+\frac{7}{3}x+\frac{1\times 2}{3\times 3}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 2}{3\times 3}.

$$6x^{2}+\frac{7}{3}x+\frac{2}{9}$$