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

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

Aromātai

$$12\left(x^{2}+1\right)$$

Ngā Upane Otinga

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

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

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

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

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

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

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

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

Hei kimi i te tauaro o x^{4}-4x^{2}+4, kimihia te tauaro o ia taurangi.

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

Pahekotia te x^{4} me -x^{4}, ka 0.

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

Pahekotia te 8x^{2} me 4x^{2}, ka 12x^{2}.

$$12x^{2}+16-4$$

Tangohia te 4 i te 16, ka 12.

$$12x^{2}+12$$

Whakaroha

$$12x^{2}+12$$

Ngā Upane Otinga

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

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

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

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

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

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

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

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

Hei kimi i te tauaro o x^{4}-4x^{2}+4, kimihia te tauaro o ia taurangi.

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

Pahekotia te x^{4} me -x^{4}, ka 0.

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

Pahekotia te 8x^{2} me 4x^{2}, ka 12x^{2}.

$$12x^{2}+16-4$$

Tangohia te 4 i te 16, ka 12.

$$12x^{2}+12$$