Whakaoti i te (y^{2}-x)^2+y^2(2x-y^2)-(-x-3)^2=

$$( y ^ { 2 } - x ) ^ { 2 } + y ^ { 2 } ( 2 x - y ^ { 2 } ) - ( - x - 3 ) ^ { 2 } =$$

Aromātai

$$-6x-9$$

Ngā Upane Otinga

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

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

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

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

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

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

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

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

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

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

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

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

Tātaihia te -x mā te pū o 2, kia riro ko x^{2}.

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

Whakareatia te -6 ki te -1, ka 6.

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

Hei kimi i te tauaro o x^{2}+6x+9, kimihia te tauaro o ia taurangi.

$$x^{2}-x^{2}-6x-9$$

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

$$-6x-9$$

Whakaroha

$$-6x-9$$

Ngā Upane Otinga

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

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

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

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

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

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

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

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

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

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

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

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

Tātaihia te -x mā te pū o 2, kia riro ko x^{2}.

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

Whakareatia te -6 ki te -1, ka 6.

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

Hei kimi i te tauaro o x^{2}+6x+9, kimihia te tauaro o ia taurangi.

$$x^{2}-x^{2}-6x-9$$

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

$$-6x-9$$