Question

2,5²-2,3²(числитель) _____________ 5.7²-2×5.7×5.9+5.9²(знаменатель)

Answer 1

$\frac{2.5^2-2.3^2}{5.7^2-2\cdot5.7\cdot5.9+5.9^2} = \frac{(2.5-2.3)(2.5+2.3)}{(5.7-5.9)^2} = \frac{0.2 \cdot 4.8}{(-0.2)^2} = \frac{0.96}{0.04}= \frac{96}{4}=24$

Answer 2

Let's simplify the expression step by step.

Step 1: Calculate the values in the numerator and the denominator.

Numerator: 2.5² - 2.3²

Numerator = (2.5 × 2.5) - (2.3 × 2.3) Numerator = 6.25 - 5.29 Numerator = 0.96

Denominator: 5.7² - 2 × 5.7 × 5.9 + 5.9²

Denominator = (5.7 × 5.7) - 2 × 5.7 × 5.9 + (5.9 × 5.9) Denominator = 32.49 - 2 × 5.7 × 5.9 + 34.81 Denominator = 32.49 - 67.26 + 34.81 Denominator = 0.04

Step 2: Divide the numerator by the denominator.

Result = Numerator / Denominator Result = 0.96 / 0.04 Result = 24

Therefore, the simplified value of the expression is 24.