p^3q^3-p^2q^2-pq+1 eching

$$p ^ { 3 } q ^ { 3 } - p ^ { 2 } q ^ { 2 } - p q + 1$$

Omil

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

Yechim qadamlari

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

$$p^{2}q^{2}\left(pq-1\right)-\left(pq-1\right)$$

Distributiv funktsiyasidan foydalangan holda pq-1 umumiy terminini chiqaring.

$$\left(pq-1\right)\left(p^{2}q^{2}-1\right)$$

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

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

Toʻliq ajratilgan ifodani qaytadan yozing.

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

Baholash

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