Whakaoti i te (x^2-10)^2-12(x^2-10)+32

$$( x ^ { 2 } - 10 ) ^ { 2 } - 12 ( x ^ { 2 } - 10 ) + 32$$

Aromātai

$$\left(x^{2}-18\right)\left(x^{2}-14\right)$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(x^{2}-10\right)^{2}.

$$\left(x^{2}\right)^{2}-20x^{2}+100-12\left(x^{2}-10\right)+32$$

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

$$x^{4}-20x^{2}+100-12\left(x^{2}-10\right)+32$$

Whakamahia te āhuatanga tohatoha hei whakarea te -12 ki te x^{2}-10.

$$x^{4}-20x^{2}+100-12x^{2}+120+32$$

Pahekotia te -20x^{2} me -12x^{2}, ka -32x^{2}.

$$x^{4}-32x^{2}+100+120+32$$

Tāpirihia te 100 ki te 120, ka 220.

$$x^{4}-32x^{2}+220+32$$

Tāpirihia te 220 ki te 32, ka 252.

$$x^{4}-32x^{2}+252$$

Whakaroha

$$x^{4}-32x^{2}+252$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(x^{2}-10\right)^{2}.

$$\left(x^{2}\right)^{2}-20x^{2}+100-12\left(x^{2}-10\right)+32$$

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

$$x^{4}-20x^{2}+100-12\left(x^{2}-10\right)+32$$

Whakamahia te āhuatanga tohatoha hei whakarea te -12 ki te x^{2}-10.

$$x^{4}-20x^{2}+100-12x^{2}+120+32$$

Pahekotia te -20x^{2} me -12x^{2}, ka -32x^{2}.

$$x^{4}-32x^{2}+100+120+32$$

Tāpirihia te 100 ki te 120, ka 220.

$$x^{4}-32x^{2}+220+32$$

Tāpirihia te 220 ki te 32, ka 252.

$$x^{4}-32x^{2}+252$$