Whakaoti i te 2u^4y^2-2y^2

$$2 u ^ { 4 } y ^ { 2 } - 2 y ^ { 2 }$$

Tauwehe

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

Ngā Upane Otinga

Tauwehea te 2.

$$2\left(u^{4}y^{2}-y^{2}\right)$$

Whakaarohia te u^{4}y^{2}-y^{2}. Tauwehea te y^{2}.

$$y^{2}\left(u^{4}-1\right)$$

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

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

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

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

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

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

Aromātai

$$2y^{2}\left(u^{4}-1\right)$$