4a^3-a^2b-36a+9b eching

$$4 a ^ { 3 } - a ^ { 2 } b - 36 a + 9 b$$

Omil

$$\left(a-3\right)\left(a+3\right)\left(4a-b\right)$$

Yechim qadamlari

4a^{3}-a^{2}b-36a+9b=\left(4a^{3}-a^{2}b\right)+\left(-36a+9b\right) misolini guruhlang hamda a^{2} ni birinchi va -9 ni ikkinchi guruhdan ajrating.

$$a^{2}\left(4a-b\right)-9\left(4a-b\right)$$

Distributiv funktsiyasidan foydalangan holda 4a-b umumiy terminini chiqaring.

$$\left(4a-b\right)\left(a^{2}-9\right)$$

Hisoblang: a^{2}-9. a^{2}-9 ni a^{2}-3^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: p^{2}-q^{2}=\left(p-q\right)\left(p+q\right).

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

Toʻliq ajratilgan ifodani qaytadan yozing.

$$\left(a-3\right)\left(a+3\right)\left(4a-b\right)$$

Baholash

$$\left(4a-b\right)\left(a^{2}-9\right)$$