m^4+m^3-m^2-m eching

$$m ^ { 4 } + m ^ { 3 } - m ^ { 2 } - m$$

Omil

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

Yechim qadamlari

m omili.

$$m\left(m^{3}+m^{2}-m-1\right)$$

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

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

Distributiv funktsiyasidan foydalangan holda m+1 umumiy terminini chiqaring.

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

Hisoblang: m^{2}-1. m^{2}-1 ni m^{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).

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

Toʻliq ajratilgan ifodani qaytadan yozing.

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

Baholash

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