4a^3-4a^2-4a+4 eching

$$4 a ^ { 3 } - 4 a ^ { 2 } - 4 a + 4$$

Omil

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

Yechim qadamlari

4 omili.

$$4\left(a^{3}-a^{2}-a+1\right)$$

Hisoblang: a^{3}-a^{2}-a+1. a^{3}-a^{2}-a+1=\left(a^{3}-a^{2}\right)+\left(-a+1\right) misolini guruhlang hamda a^{2} ni birinchi va -1 ni ikkinchi guruhdan ajrating.

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

Distributiv funktsiyasidan foydalangan holda a-1 umumiy terminini chiqaring.

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

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.

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

Baholash

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