a^4-a^3b+a^2b-ab^2= eching

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

Omil

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

Yechim qadamlari

a omili.

$$a\left(a^{3}-a^{2}b+ab-b^{2}\right)$$

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

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

Distributiv funktsiyasidan foydalangan holda a-b umumiy terminini chiqaring.

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

Toʻliq ajratilgan ifodani qaytadan yozing.

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

Baholash

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