123^2-57^2/72^2-27^2 eching

$$\frac { 123 ^ { 2 } - 57 ^ { 2 } } { 72 ^ { 2 } - 27 ^ { 2 } }$$

Baholash

$$\frac{8}{3}\approx 2,666666667$$

Yechim qadamlari

2 daraja ko‘rsatkichini 123 ga hisoblang va 15129 ni qiymatni oling.

$$\frac{15129-57^{2}}{72^{2}-27^{2}}$$

2 daraja ko‘rsatkichini 57 ga hisoblang va 3249 ni qiymatni oling.

$$\frac{15129-3249}{72^{2}-27^{2}}$$

11880 olish uchun 15129 dan 3249 ni ayirish.

$$\frac{11880}{72^{2}-27^{2}}$$

2 daraja ko‘rsatkichini 72 ga hisoblang va 5184 ni qiymatni oling.

$$\frac{11880}{5184-27^{2}}$$

2 daraja ko‘rsatkichini 27 ga hisoblang va 729 ni qiymatni oling.

$$\frac{11880}{5184-729}$$

4455 olish uchun 5184 dan 729 ni ayirish.

$$\frac{11880}{4455}$$

\frac{11880}{4455} ulushini 1485 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{8}{3}$$

Omil

$$\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2,6666666666666665$$