2. $$ \frac{71^{2}-23^{2}+94 \cdot 42}{62^{2}-32^{2}} $$ ni hisoblang A) $$ \frac{5}{6} $$.B) $$ \frac{1}{3} $$.(C) 3 . D) 4 .

Question

UpStudy AI · Accepted Answer

Keltirilgan ifodani hisoblaymiz:

$$
\frac{71^{2} - 23^{2} + 94 \times 42}{62^{2} - 32^{2}}
$$

**1. Numeratorni hisoblash:**

$$
71^{2} = 5041
$$
$$
23^{2} = 529
$$
$$
94 \times 42 = 3948
$$

Shunday qilib,

$$
71^{2} - 23^{2} + 94 \times 42 = 5041 - 529 + 3948 = 8460
$$

**2. Denominatorni hisoblash:**

$$
62^{2} = 3844
$$
$$
32^{2} = 1024
$$

Shunday qilib,

$$
62^{2} - 32^{2} = 3844 - 1024 = 2820
$$

**3. Butun ifodani hisoblash:**

$$
\frac{8460}{2820} = 3
$$

**Javob:**
**C) 3**
3

2. \( \frac{71^{2}-23^{2}+94 \cdot 42}{62^{2}-32^{2}} \) ni hisoblang A) \( \frac{5}{6} \).B) \( \frac{1}{3} \).(C) 3 . D) 4 .