a^3-3a^2-4a+12 eching

$$a ^ { 3 } - 3 a ^ { 2 } - 4 a + 12$$

Omil

$$\left(a-3\right)\left(a-2\right)\left(a+2\right)$$

Yechim qadamlari

a^{3}-3a^{2}-4a+12=\left(a^{3}-3a^{2}\right)+\left(-4a+12\right) misolini guruhlang hamda a^{2} ni birinchi va -4 ni ikkinchi guruhdan ajrating.

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

Distributiv funktsiyasidan foydalangan holda a-3 umumiy terminini chiqaring.

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

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

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

Toʻliq ajratilgan ifodani qaytadan yozing.

$$\left(a-3\right)\left(a-2\right)\left(a+2\right)$$

Baholash

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