Question

A/ab-2b²:4a²/a²-4ab+4b²

Answer 1

Вот тебе и ответ и решение

Answer 2

To simplify the expression (A/ab - 2b²) / (4a² / (a² - 4ab + 4b²)), we'll first factorize the denominators and then simplify the division.

Step 1: Factorize the denominators: (a² - 4ab + 4b²) can be factored as (a - 2b)². (4a²) can be factored as (2a)².

Step 2: Rewrite the expression: (A/ab - 2b²) / (4a² / (a² - 4ab + 4b²)) = (A/ab - 2b²) / ((2a)² / (a - 2b)²)

Step 3: Invert the second fraction and multiply: = (A/ab - 2b²) * ((a - 2b)² / (2a)²)

Step 4: Simplify the expression: Now, to simplify the first part (A/ab - 2b²), we need a common denominator, which is 'ab'. So, we'll rewrite A as (A * b/b): = ((A * b) / ab - 2b²) * ((a - 2b)² / (2a)²)

= (Ab / ab - 2b²) * ((a - 2b)² / (2a)²)

Next, let's simplify the first term (Ab / ab). Since the numerator and denominator have 'ab' as a common factor, they can be canceled out:

= (A - 2b²) * ((a - 2b)² / (2a)²)

Finally, we can expand (a - 2b)² and (2a)²: = (A - 2b²) * (a² - 4ab + 4b²) / (4a²)

So, the simplified expression is: (A - 2b²) * (a² - 4ab + 4b²) / (4a²)