a^6-a^4+a^2-1= eching

$$a ^ { 6 } - a ^ { 4 } + a ^ { 2 } - 1 =$$

Omil

$$\left(a-1\right)\left(a+1\right)\left(a^{4}+1\right)$$

Yechim qadamlari

a^{6}-a^{4}+a^{2}-1=\left(a^{6}-a^{4}\right)+\left(a^{2}-1\right) misolini guruhlang hamda a^{6}-a^{4} ichidagi a^{4} ni ajrating.

$$a^{4}\left(a^{2}-1\right)+a^{2}-1$$

Distributiv funktsiyasidan foydalangan holda a^{2}-1 umumiy terminini chiqaring.

$$\left(a^{2}-1\right)\left(a^{4}+1\right)$$

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

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

Toʻliq ajratilgan ifodani qaytadan yozing. Koʻphadli a^{4}+1 faktorlanmagan, chunki unda ratsional ildizlar topilmadi.

$$\left(a-1\right)\left(a+1\right)\left(a^{4}+1\right)$$

Baholash

$$\left(a^{2}-1\right)\left(a^{4}+1\right)$$