Whakaoti i te =(x)(2)(x^2+1)(2x)+(x^2+1)^2(1)

$$= ( x ) ( 2 ) ( x ^ { 2 } + 1 ) ( 2 x ) + ( x ^ { 2 } + 1 ) ^ { 2 } ( 1 )$$

Aromātai

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

Ngā Upane Otinga

Whakareatia te x ki te x, ka x^{2}.

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

Whakareatia te 2 ki te 2, ka 4.

$$x^{2}\times 4\left(x^{2}+1\right)+\left(x^{2}+1\right)^{2}\times 1$$

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

$$4x^{4}+x^{2}\times 4+\left(x^{2}+1\right)^{2}\times 1$$

Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x^{2}+1\right)^{2}.

$$4x^{4}+x^{2}\times 4+\left(\left(x^{2}\right)^{2}+2x^{2}+1\right)\times 1$$

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

$$4x^{4}+x^{2}\times 4+\left(x^{4}+2x^{2}+1\right)\times 1$$

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

$$4x^{4}+x^{2}\times 4+x^{4}+2x^{2}+1$$

Pahekotia te 4x^{4} me x^{4}, ka 5x^{4}.

$$5x^{4}+x^{2}\times 4+2x^{2}+1$$

Pahekotia te x^{2}\times 4 me 2x^{2}, ka 6x^{2}.

$$5x^{4}+6x^{2}+1$$

Whakaroha

$$5x^{4}+6x^{2}+1$$

Ngā Upane Otinga

Whakareatia te x ki te x, ka x^{2}.

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

Whakareatia te 2 ki te 2, ka 4.

$$x^{2}\times 4\left(x^{2}+1\right)+\left(x^{2}+1\right)^{2}\times 1$$

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

$$4x^{4}+x^{2}\times 4+\left(x^{2}+1\right)^{2}\times 1$$

Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x^{2}+1\right)^{2}.

$$4x^{4}+x^{2}\times 4+\left(\left(x^{2}\right)^{2}+2x^{2}+1\right)\times 1$$

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

$$4x^{4}+x^{2}\times 4+\left(x^{4}+2x^{2}+1\right)\times 1$$

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

$$4x^{4}+x^{2}\times 4+x^{4}+2x^{2}+1$$

Pahekotia te 4x^{4} me x^{4}, ka 5x^{4}.

$$5x^{4}+x^{2}\times 4+2x^{2}+1$$

Pahekotia te x^{2}\times 4 me 2x^{2}, ka 6x^{2}.

$$5x^{4}+6x^{2}+1$$