Whakaoti i te (x^{4}-2x)(x^2+1)-(x^2-3y)(x^2+3y)+2x-9y^2

$$( x ^ { 4 } - 2 x ) ( x ^ { 2 } + 1 ) - ( x ^ { 2 } - 3 y ) ( x ^ { 2 } + 3 y ) + 2 x - 9 y ^ { 2 }$$

Aromātai

$$x^{3}\left(x^{3}-2\right)$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te x^{4}-2x ki te x^{2}+1.

$$x^{6}+x^{4}-2x^{3}-2x-\left(x^{2}-3y\right)\left(x^{2}+3y\right)+2x-9y^{2}$$

Whakaarohia te \left(x^{2}-3y\right)\left(x^{2}+3y\right). Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$x^{6}+x^{4}-2x^{3}-2x-\left(\left(x^{2}\right)^{2}-\left(3y\right)^{2}\right)+2x-9y^{2}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 2 kia riro ai te 4.

$$x^{6}+x^{4}-2x^{3}-2x-\left(x^{4}-\left(3y\right)^{2}\right)+2x-9y^{2}$$

Whakarohaina te \left(3y\right)^{2}.

$$x^{6}+x^{4}-2x^{3}-2x-\left(x^{4}-3^{2}y^{2}\right)+2x-9y^{2}$$

Tātaihia te 3 mā te pū o 2, kia riro ko 9.

$$x^{6}+x^{4}-2x^{3}-2x-\left(x^{4}-9y^{2}\right)+2x-9y^{2}$$

Hei kimi i te tauaro o x^{4}-9y^{2}, kimihia te tauaro o ia taurangi.

$$x^{6}+x^{4}-2x^{3}-2x-x^{4}+9y^{2}+2x-9y^{2}$$

Pahekotia te x^{4} me -x^{4}, ka 0.

$$x^{6}-2x^{3}-2x+9y^{2}+2x-9y^{2}$$

Pahekotia te -2x me 2x, ka 0.

$$x^{6}-2x^{3}+9y^{2}-9y^{2}$$

Pahekotia te 9y^{2} me -9y^{2}, ka 0.

$$x^{6}-2x^{3}$$

Whakaroha

$$x^{6}-2x^{3}$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te x^{4}-2x ki te x^{2}+1.

$$x^{6}+x^{4}-2x^{3}-2x-\left(x^{2}-3y\right)\left(x^{2}+3y\right)+2x-9y^{2}$$

Whakaarohia te \left(x^{2}-3y\right)\left(x^{2}+3y\right). Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$x^{6}+x^{4}-2x^{3}-2x-\left(\left(x^{2}\right)^{2}-\left(3y\right)^{2}\right)+2x-9y^{2}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 2 kia riro ai te 4.

$$x^{6}+x^{4}-2x^{3}-2x-\left(x^{4}-\left(3y\right)^{2}\right)+2x-9y^{2}$$

Whakarohaina te \left(3y\right)^{2}.

$$x^{6}+x^{4}-2x^{3}-2x-\left(x^{4}-3^{2}y^{2}\right)+2x-9y^{2}$$

Tātaihia te 3 mā te pū o 2, kia riro ko 9.

$$x^{6}+x^{4}-2x^{3}-2x-\left(x^{4}-9y^{2}\right)+2x-9y^{2}$$

Hei kimi i te tauaro o x^{4}-9y^{2}, kimihia te tauaro o ia taurangi.

$$x^{6}+x^{4}-2x^{3}-2x-x^{4}+9y^{2}+2x-9y^{2}$$

Pahekotia te x^{4} me -x^{4}, ka 0.

$$x^{6}-2x^{3}-2x+9y^{2}+2x-9y^{2}$$

Pahekotia te -2x me 2x, ka 0.

$$x^{6}-2x^{3}+9y^{2}-9y^{2}$$

Pahekotia te 9y^{2} me -9y^{2}, ka 0.

$$x^{6}-2x^{3}$$