Whakaoti i te x^3-w^4x^3

$$x ^ { 3 } - w ^ { 4 } x ^ { 3 }$$

Tauwehe

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

Ngā Upane Otinga

Tauwehea te x^{3}.

$$x^{3}\left(1-w^{4}\right)$$

Whakaarohia te 1-w^{4}. Tuhia anō te 1-w^{4} hei 1^{2}-\left(-w^{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).

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

Whakaraupapatia anō ngā kīanga tau.

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

Whakaarohia te -w^{2}+1. Tuhia anō te -w^{2}+1 hei 1^{2}-w^{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).

$$\left(1-w\right)\left(1+w\right)$$

Whakaraupapatia anō ngā kīanga tau.

$$\left(-w+1\right)\left(w+1\right)$$

Me tuhi anō te kīanga whakatauwehe katoa. Kāore te pūrau w^{2}+1 i whakatauwehea i te mea kāhore ōna pūtake whakahau.

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

Aromātai

$$x^{3}\left(1-w^{4}\right)$$