Whakaoti i te (x^2-3)^2-x(x^2-3)-2x^2

$$( x ^ { 2 } - 3 ) ^ { 2 } - x ( x ^ { 2 } - 3 ) - 2 x ^ { 2 }$$

Aromātai

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

Ngā Upane Otinga

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(x^{2}-3\right)^{2}.

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

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

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

Whakamahia te āhuatanga tohatoha hei whakarea te x ki te x^{2}-3.

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

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

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

Pahekotia te -6x^{2} me -2x^{2}, ka -8x^{2}.

$$x^{4}-8x^{2}+9-x^{3}+3x$$

Whakaroha

$$x^{4}-x^{3}-8x^{2}+3x+9$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(x^{2}-3\right)^{2}.

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

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

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

Whakamahia te āhuatanga tohatoha hei whakarea te x ki te x^{2}-3.

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

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

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

Pahekotia te -6x^{2} me -2x^{2}, ka -8x^{2}.

$$x^{4}-8x^{2}+9-x^{3}+3x$$