Whakaoti i te 2y^0(y+2)+13y(y+2)+15(y+2)

$$2 y ^ { 0 } ( y + 2 ) + 13 y ( y + 2 ) + 15 ( y + 2 )$$

Aromātai

$$\left(y+2\right)\left(13y+17\right)$$

Ngā Upane Otinga

Tātaihia te y mā te pū o 0, kia riro ko 1.

$$2\times 1\left(y+2\right)+13y\left(y+2\right)+15\left(y+2\right)$$

Whakareatia te 2 ki te 1, ka 2.

$$2\left(y+2\right)+13y\left(y+2\right)+15\left(y+2\right)$$

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

$$2y+4+13y\left(y+2\right)+15\left(y+2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 13y ki te y+2.

$$2y+4+13y^{2}+26y+15\left(y+2\right)$$

Pahekotia te 2y me 26y, ka 28y.

$$28y+4+13y^{2}+15\left(y+2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 15 ki te y+2.

$$28y+4+13y^{2}+15y+30$$

Pahekotia te 28y me 15y, ka 43y.

$$43y+4+13y^{2}+30$$

Tāpirihia te 4 ki te 30, ka 34.

$$43y+34+13y^{2}$$

Tauwehe

$$\left(y+2\right)\left(13y+17\right)$$

Ngā Upane Otinga

Whakatauwehea atu te kīanga pātahi y+2 mā te whakamahi i te āhuatanga tātai tohatoha.

$$\left(y+2\right)\left(2y^{0}+13y+15\right)$$

Whakaarohia te 2y^{0}+13y+15. Whakarūnātia.

$$13y+17$$

Me tuhi anō te kīanga whakatauwehe katoa.

$$\left(y+2\right)\left(13y+17\right)$$