3-3x^4 eching

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

Omil

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

Yechim qadamlari

3 omili.

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

Hisoblang: 1-x^{4}. 1-x^{4} ni 1^{2}-\left(-x^{2}\right)^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

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

Shartlarni qayta saralash.

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

Hisoblang: -x^{2}+1. -x^{2}+1 ni 1^{2}-x^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

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

Shartlarni qayta saralash.

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

Toʻliq ajratilgan ifodani qaytadan yozing. Koʻphadli x^{2}+1 faktorlanmagan, chunki unda ratsional ildizlar topilmadi.

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

Baholash

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