x^3-4x^2-25x+100 eching

$$x ^ { 3 } - 4 x ^ { 2 } - 25 x + 100$$

Omil

$$\left(x-5\right)\left(x-4\right)\left(x+5\right)$$

Yechim qadamlari

x^{3}-4x^{2}-25x+100=\left(x^{3}-4x^{2}\right)+\left(-25x+100\right) misolini guruhlang hamda x^{2} ni birinchi va -25 ni ikkinchi guruhdan ajrating.

$$x^{2}\left(x-4\right)-25\left(x-4\right)$$

Distributiv funktsiyasidan foydalangan holda x-4 umumiy terminini chiqaring.

$$\left(x-4\right)\left(x^{2}-25\right)$$

Hisoblang: x^{2}-25. x^{2}-25 ni x^{2}-5^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(x-5\right)\left(x+5\right)$$

Toʻliq ajratilgan ifodani qaytadan yozing.

$$\left(x-5\right)\left(x-4\right)\left(x+5\right)$$

Baholash

$$\left(x-4\right)\left(x^{2}-25\right)$$