Whakaoti i te (x^2+2x)^2-2(x^2+2x)-3

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

Aromātai

$$\left(x-1\right)\left(x+3\right)\left(x+1\right)^{2}$$

Ngā Upane Otinga

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

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

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

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

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 1 kia riro ai te 3.

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

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

$$x^{4}+4x^{3}+4x^{2}-2x^{2}-4x-3$$

Pahekotia te 4x^{2} me -2x^{2}, ka 2x^{2}.

$$x^{4}+4x^{3}+2x^{2}-4x-3$$

Whakaroha

$$x^{4}+4x^{3}+2x^{2}-4x-3$$

Ngā Upane Otinga

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

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

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

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

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 1 kia riro ai te 3.

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

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

$$x^{4}+4x^{3}+4x^{2}-2x^{2}-4x-3$$

Pahekotia te 4x^{2} me -2x^{2}, ka 2x^{2}.

$$x^{4}+4x^{3}+2x^{2}-4x-3$$