Whakaoti i te (x^2+1)^2-7(x^2+1)+10

$$( x ^ { 2 } + 1 ) ^ { 2 } - 7 ( x ^ { 2 } + 1 ) + 10$$

Aromātai

$$x^{4}-5x^{2}+4$$

Ngā Upane Otinga

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

$$\left(x^{2}\right)^{2}+2x^{2}+1-7\left(x^{2}+1\right)+10$$

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

$$x^{4}+2x^{2}+1-7\left(x^{2}+1\right)+10$$

Whakamahia te āhuatanga tohatoha hei whakarea te -7 ki te x^{2}+1.

$$x^{4}+2x^{2}+1-7x^{2}-7+10$$

Pahekotia te 2x^{2} me -7x^{2}, ka -5x^{2}.

$$x^{4}-5x^{2}+1-7+10$$

Tangohia te 7 i te 1, ka -6.

$$x^{4}-5x^{2}-6+10$$

Tāpirihia te -6 ki te 10, ka 4.

$$x^{4}-5x^{2}+4$$

Whakaroha

$$x^{4}-5x^{2}+4$$

Ngā Upane Otinga

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

$$\left(x^{2}\right)^{2}+2x^{2}+1-7\left(x^{2}+1\right)+10$$

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

$$x^{4}+2x^{2}+1-7\left(x^{2}+1\right)+10$$

Whakamahia te āhuatanga tohatoha hei whakarea te -7 ki te x^{2}+1.

$$x^{4}+2x^{2}+1-7x^{2}-7+10$$

Pahekotia te 2x^{2} me -7x^{2}, ka -5x^{2}.

$$x^{4}-5x^{2}+1-7+10$$

Tangohia te 7 i te 1, ka -6.

$$x^{4}-5x^{2}-6+10$$

Tāpirihia te -6 ki te 10, ka 4.

$$x^{4}-5x^{2}+4$$