Whakaoti i te 3x^2y^4-48x^2

$$3 x ^ { 2 } y ^ { 4 } - 48 x ^ { 2 }$$

Tauwehe

$$3\left(y-2\right)\left(y+2\right)x^{2}\left(y^{2}+4\right)$$

Ngā Upane Otinga

Tauwehea te 3.

$$3\left(x^{2}y^{4}-16x^{2}\right)$$

Whakaarohia te x^{2}y^{4}-16x^{2}. Tauwehea te x^{2}.

$$x^{2}\left(y^{4}-16\right)$$

Whakaarohia te y^{4}-16. Tuhia anō te y^{4}-16 hei \left(y^{2}\right)^{2}-4^{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).

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

Whakaarohia te y^{2}-4. Tuhia anō te y^{2}-4 hei y^{2}-2^{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).

$$\left(y-2\right)\left(y+2\right)$$

Me tuhi anō te kīanga whakatauwehe katoa. Kāore te pūrau y^{2}+4 i whakatauwehea i te mea kāhore ōna pūtake whakahau.

$$3x^{2}\left(y-2\right)\left(y+2\right)\left(y^{2}+4\right)$$

Aromātai

$$3x^{2}\left(y^{4}-16\right)$$