2abc^3+2abc^2-50abc-50ab eching

$$2 a b c ^ { 3 } + 2 a b c ^ { 2 } - 50 a b c - 50 a b$$

Omil

$$2ab\left(c-5\right)\left(c+1\right)\left(c+5\right)$$

Yechim qadamlari

2 omili.

$$2\left(abc^{3}+abc^{2}-25abc-25ab\right)$$

Hisoblang: abc^{3}+abc^{2}-25abc-25ab. ab omili.

$$ab\left(c^{3}+c^{2}-25c-25\right)$$

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

$$c^{2}\left(c+1\right)-25\left(c+1\right)$$

Distributiv funktsiyasidan foydalangan holda c+1 umumiy terminini chiqaring.

$$\left(c+1\right)\left(c^{2}-25\right)$$

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

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

Toʻliq ajratilgan ifodani qaytadan yozing.

$$2ab\left(c+1\right)\left(c-5\right)\left(c+5\right)$$

Baholash

$$2ab\left(c+1\right)\left(c^{2}-25\right)$$