Whakaoti i te 5y^2-(y-2)(3y+1)-2(y+1)(y-5)

$$5 y ^ { 2 } - ( y - 2 ) ( 3 y + 1 ) - 2 ( y + 1 ) ( y - 5 )$$

Aromātai

$$13y+12$$

Ngā Upane Otinga

Whakamahia te āhuatanga tuaritanga hei whakarea te y-2 ki te 3y+1 ka whakakotahi i ngā kupu rite.

$$5y^{2}-\left(3y^{2}-5y-2\right)-2\left(y+1\right)\left(y-5\right)$$

Hei kimi i te tauaro o 3y^{2}-5y-2, kimihia te tauaro o ia taurangi.

$$5y^{2}-3y^{2}+5y+2-2\left(y+1\right)\left(y-5\right)$$

Pahekotia te 5y^{2} me -3y^{2}, ka 2y^{2}.

$$2y^{2}+5y+2-2\left(y+1\right)\left(y-5\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te y+1.

$$2y^{2}+5y+2+\left(-2y-2\right)\left(y-5\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te -2y-2 ki te y-5 ka whakakotahi i ngā kupu rite.

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

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

$$5y+2+8y+10$$

Pahekotia te 5y me 8y, ka 13y.

$$13y+2+10$$

Tāpirihia te 2 ki te 10, ka 12.

$$13y+12$$

Whakaroha

$$13y+12$$

Ngā Upane Otinga

Whakamahia te āhuatanga tuaritanga hei whakarea te y-2 ki te 3y+1 ka whakakotahi i ngā kupu rite.

$$5y^{2}-\left(3y^{2}-5y-2\right)-2\left(y+1\right)\left(y-5\right)$$

Hei kimi i te tauaro o 3y^{2}-5y-2, kimihia te tauaro o ia taurangi.

$$5y^{2}-3y^{2}+5y+2-2\left(y+1\right)\left(y-5\right)$$

Pahekotia te 5y^{2} me -3y^{2}, ka 2y^{2}.

$$2y^{2}+5y+2-2\left(y+1\right)\left(y-5\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te y+1.

$$2y^{2}+5y+2+\left(-2y-2\right)\left(y-5\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te -2y-2 ki te y-5 ka whakakotahi i ngā kupu rite.

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

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

$$5y+2+8y+10$$

Pahekotia te 5y me 8y, ka 13y.

$$13y+2+10$$

Tāpirihia te 2 ki te 10, ka 12.

$$13y+12$$