Whakaoti i te (3y+2)(y-4)-(y-2)(y-3)

$$( 3 y + 2 ) ( y - 4 ) - ( y - 2 ) ( y - 3 )$$

Aromātai

$$2y^{2}-5y-14$$

Ngā Upane Otinga

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o 3y+2 ki ia tau o y-4.

$$3y^{2}-12y+2y-8-\left(y-2\right)\left(y-3\right)$$

Pahekotia te -12y me 2y, ka -10y.

$$3y^{2}-10y-8-\left(y-2\right)\left(y-3\right)$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o y-2 ki ia tau o y-3.

$$3y^{2}-10y-8-\left(y^{2}-3y-2y+6\right)$$

Pahekotia te -3y me -2y, ka -5y.

$$3y^{2}-10y-8-\left(y^{2}-5y+6\right)$$

Hei kimi i te tauaro o y^{2}-5y+6, kimihia te tauaro o ia taurangi.

$$3y^{2}-10y-8-y^{2}-\left(-5y\right)-6$$

Ko te tauaro o -5y ko 5y.

$$3y^{2}-10y-8-y^{2}+5y-6$$

Pahekotia te 3y^{2} me -y^{2}, ka 2y^{2}.

$$2y^{2}-10y-8+5y-6$$

Pahekotia te -10y me 5y, ka -5y.

$$2y^{2}-5y-8-6$$

Tangohia te 6 i te -8, ka -14.

$$2y^{2}-5y-14$$

Whakaroha

$$2y^{2}-5y-14$$

Ngā Upane Otinga

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o 3y+2 ki ia tau o y-4.

$$3y^{2}-12y+2y-8-\left(y-2\right)\left(y-3\right)$$

Pahekotia te -12y me 2y, ka -10y.

$$3y^{2}-10y-8-\left(y-2\right)\left(y-3\right)$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o y-2 ki ia tau o y-3.

$$3y^{2}-10y-8-\left(y^{2}-3y-2y+6\right)$$

Pahekotia te -3y me -2y, ka -5y.

$$3y^{2}-10y-8-\left(y^{2}-5y+6\right)$$

Hei kimi i te tauaro o y^{2}-5y+6, kimihia te tauaro o ia taurangi.

$$3y^{2}-10y-8-y^{2}-\left(-5y\right)-6$$

Ko te tauaro o -5y ko 5y.

$$3y^{2}-10y-8-y^{2}+5y-6$$

Pahekotia te 3y^{2} me -y^{2}, ka 2y^{2}.

$$2y^{2}-10y-8+5y-6$$

Pahekotia te -10y me 5y, ka -5y.

$$2y^{2}-5y-8-6$$

Tangohia te 6 i te -8, ka -14.

$$2y^{2}-5y-14$$