Whakaoti i te (x^2+4x)^2+4(x^2+4x)+3

$$( x ^ { 2 } + 4 x ) ^ { 2 } + 4 ( x ^ { 2 } + 4 x ) + 3$$

Aromātai

$$\left(x+1\right)\left(x+3\right)\left(x^{2}+4x+1\right)$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x^{2}+4x\right)^{2}.

$$\left(x^{2}\right)^{2}+8x^{2}x+16x^{2}+4\left(x^{2}+4x\right)+3$$

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

$$x^{4}+8x^{2}x+16x^{2}+4\left(x^{2}+4x\right)+3$$

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.

$$x^{4}+8x^{3}+16x^{2}+4\left(x^{2}+4x\right)+3$$

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

$$x^{4}+8x^{3}+16x^{2}+4x^{2}+16x+3$$

Pahekotia te 16x^{2} me 4x^{2}, ka 20x^{2}.

$$x^{4}+8x^{3}+20x^{2}+16x+3$$

Whakaroha

$$x^{4}+8x^{3}+20x^{2}+16x+3$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x^{2}+4x\right)^{2}.

$$\left(x^{2}\right)^{2}+8x^{2}x+16x^{2}+4\left(x^{2}+4x\right)+3$$

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

$$x^{4}+8x^{2}x+16x^{2}+4\left(x^{2}+4x\right)+3$$

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.

$$x^{4}+8x^{3}+16x^{2}+4\left(x^{2}+4x\right)+3$$

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

$$x^{4}+8x^{3}+16x^{2}+4x^{2}+16x+3$$

Pahekotia te 16x^{2} me 4x^{2}, ka 20x^{2}.

$$x^{4}+8x^{3}+20x^{2}+16x+3$$