a^3-9a+a^2-9 eching

$$a ^ { 3 } - 9 a + a ^ { 2 } - 9$$

Omil

$$\left(a-3\right)\left(a+1\right)\left(a+3\right)$$

Yechim qadamlari

a^{3}-9a+a^{2}-9=\left(a^{3}-9a\right)+\left(a^{2}-9\right) misolini guruhlang hamda a^{3}-9a ichidagi a ni ajrating.

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

Distributiv funktsiyasidan foydalangan holda a^{2}-9 umumiy terminini chiqaring.

$$\left(a^{2}-9\right)\left(a+1\right)$$

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.

$$\left(a-3\right)\left(a+1\right)\left(a+3\right)$$

Baholash

$$\left(a+1\right)\left(a^{2}-9\right)$$