Whakaoti i te 3u^3y^4-3u^3

$$3 u ^ { 3 } y ^ { 4 } - 3 u ^ { 3 }$$

Tauwehe

$$3\left(y-1\right)\left(y+1\right)\left(y^{2}+1\right)u^{3}$$

Ngā Upane Otinga

Tauwehea te 3.

$$3\left(u^{3}y^{4}-u^{3}\right)$$

Whakaarohia te u^{3}y^{4}-u^{3}. Tauwehea te u^{3}.

$$u^{3}\left(y^{4}-1\right)$$

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

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

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

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

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

$$3u^{3}\left(y-1\right)\left(y+1\right)\left(y^{2}+1\right)$$

Aromātai

$$3u^{3}\left(y^{4}-1\right)$$