Whakaoti i te x^4/4+x^2+1

$$\frac{ { x }^{ 4 } }{ 4 } + { x }^{ 2 } +1$$

Aromātai

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

Ngā Hipanga Rongoā Poto

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia x^{2}+1 ki te \frac{4}{4}.

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

Tā te mea he rite te tauraro o \frac{x^{4}}{4} me \frac{4\left(x^{2}+1\right)}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

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

Mahia ngā whakarea i roto o x^{4}+4\left(x^{2}+1\right).

$$\frac{x^{4}+4x^{2}+4}{4}$$

Tauwehe

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

Ngā Upane Otinga

Tauwehea te \frac{1}{4}.

$$\frac{x^{4}+4x^{2}+4}{4}$$

Whakaarohia te x^{4}+4x^{2}+4. Whakamahia te tikanga tātai pūrua pā, a^{2}+2ab+b^{2}=\left(a+b\right)^{2}, ina a=x^{2}, ina b=2.

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

Me tuhi anō te kīanga whakatauwehe katoa. Kāore te pūrau x^{2}+2 i whakatauwehea i te mea kāhore ōna pūtake whakahau.

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