Whakaoti i te (y-2)(y2+2y+4)-(y2+1)(y-1)

$$( y - 2 ) ( y 2 + 2 y + 4 ) - ( y 2 + 1 ) ( y - 1 )$$

Aromātai

$$2y^{2}-y-y_{2}-7$$

Ngā Upane Otinga

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o y-2 ki ia tau o y_{2}+2y+4.

$$yy_{2}+2y^{2}+4y-2y_{2}-4y-8-\left(y_{2}+1\right)\left(y-1\right)$$

Pahekotia te 4y me -4y, ka 0.

$$yy_{2}+2y^{2}-2y_{2}-8-\left(y_{2}+1\right)\left(y-1\right)$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o y_{2}+1 ki ia tau o y-1.

$$yy_{2}+2y^{2}-2y_{2}-8-\left(y_{2}y-y_{2}+y-1\right)$$

Hei kimi i te tauaro o y_{2}y-y_{2}+y-1, kimihia te tauaro o ia taurangi.

$$yy_{2}+2y^{2}-2y_{2}-8-y_{2}y-\left(-y_{2}\right)-y-\left(-1\right)$$

Ko te tauaro o -y_{2} ko y_{2}.

$$yy_{2}+2y^{2}-2y_{2}-8-y_{2}y+y_{2}-y-\left(-1\right)$$

Ko te tauaro o -1 ko 1.

$$yy_{2}+2y^{2}-2y_{2}-8-y_{2}y+y_{2}-y+1$$

Pahekotia te yy_{2} me -y_{2}y, ka 0.

$$2y^{2}-2y_{2}-8+y_{2}-y+1$$

Pahekotia te -2y_{2} me y_{2}, ka -y_{2}.

$$2y^{2}-y_{2}-8-y+1$$

Tāpirihia te -8 ki te 1, ka -7.

$$2y^{2}-y_{2}-7-y$$

Whakaroha

$$2y^{2}-y-y_{2}-7$$

Ngā Upane Otinga

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o y-2 ki ia tau o y_{2}+2y+4.

$$yy_{2}+2y^{2}+4y-2y_{2}-4y-8-\left(y_{2}+1\right)\left(y-1\right)$$

Pahekotia te 4y me -4y, ka 0.

$$yy_{2}+2y^{2}-2y_{2}-8-\left(y_{2}+1\right)\left(y-1\right)$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o y_{2}+1 ki ia tau o y-1.

$$yy_{2}+2y^{2}-2y_{2}-8-\left(y_{2}y-y_{2}+y-1\right)$$

Hei kimi i te tauaro o y_{2}y-y_{2}+y-1, kimihia te tauaro o ia taurangi.

$$yy_{2}+2y^{2}-2y_{2}-8-y_{2}y-\left(-y_{2}\right)-y-\left(-1\right)$$

Ko te tauaro o -y_{2} ko y_{2}.

$$yy_{2}+2y^{2}-2y_{2}-8-y_{2}y+y_{2}-y-\left(-1\right)$$

Ko te tauaro o -1 ko 1.

$$yy_{2}+2y^{2}-2y_{2}-8-y_{2}y+y_{2}-y+1$$

Pahekotia te yy_{2} me -y_{2}y, ka 0.

$$2y^{2}-2y_{2}-8+y_{2}-y+1$$

Pahekotia te -2y_{2} me y_{2}, ka -y_{2}.

$$2y^{2}-y_{2}-8-y+1$$

Tāpirihia te -8 ki te 1, ka -7.

$$2y^{2}-y_{2}-7-y$$