Whakaoti i te 2left(x-1right)^2+4(x-1)+2

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

Aromātai

$$2x^{2}$$

Ngā Upane Otinga

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

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

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

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

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te x-1.

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

Pahekotia te -4x me 4x, ka 0.

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

Tangohia te 4 i te 2, ka -2.

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

Tāpirihia te -2 ki te 2, ka 0.

$$2x^{2}$$

Whakaroha

$$2x^{2}$$

Ngā Upane Otinga

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

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

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

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

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te x-1.

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

Pahekotia te -4x me 4x, ka 0.

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

Tangohia te 4 i te 2, ka -2.

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

Tāpirihia te -2 ki te 2, ka 0.

$$2x^{2}$$