Whakaoti i te x^4/64-9x^8/144

$$\frac{ { x }^{ 4 } }{ 64 } - \frac{ 9 { x }^{ 8 } }{ 144 }$$

Tauwehe

$$\frac{\left(-2x^{2}-1\right)\left(2x^{2}-1\right)x^{4}}{64}$$

Ngā Upane Otinga

Tauwehea te \frac{1}{64}.

$$\frac{x^{4}-4x^{8}}{64}$$

Whakaarohia te x^{4}-4x^{8}. Tauwehea te x^{4}.

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

Whakaarohia te 1-4x^{4}. Tuhia anō te 1-4x^{4} hei 1^{2}-\left(2x^{2}\right)^{2}. Ka taea te rerekētanga o ngā pūrua te whakatauwehe mā te ture: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

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

Whakaraupapatia anō ngā kīanga tau.

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

Me tuhi anō te kīanga whakatauwehe katoa. Kāore i tauwehea ēnei pūrau i te mea kāhore ō rātou pūtake whakahau: -2x^{2}+1,2x^{2}+1.

$$\frac{x^{4}\left(-2x^{2}+1\right)\left(2x^{2}+1\right)}{64}$$

Aromātai

$$-\frac{x^{8}}{16}+\frac{x^{4}}{64}$$