Question

2a-b / 4a^2+2ab - 2a / b^2+2ab=......

Answer 1

Решение внизу на фото

Answer 2

Ришение на фотке этой задачы

Answer 3

To simplify the given expression, $\frac{{2a - b}}{{4a^2 + 2ab}} - \frac{{2a}}{{b^2 + 2ab}}$, we'll follow these steps:

Step 1: Factor out common terms from each fraction's denominator. Step 2: Find a common denominator for the fractions. Step 3: Combine the fractions. Step 4: Simplify the resulting expression.

Let's proceed with the calculations.

Step 1: Factor out common terms from each fraction's denominator:

The denominators are:

• $4a^2 + 2ab = 2a(2a + b)$
• $b^2 + 2ab = b(b + 2a)$

Step 2: Find a common denominator for the fractions:

The common denominator will be the product of the individual denominators: $\text{Common denominator} = 2a(2a + b) \times b(b + 2a)$

Step 3: Rewrite the fractions with the common denominator:

$\frac{{2a - b}}{{4a^2 + 2ab}} - \frac{{2a}}{{b^2 + 2ab}}$ becomes $\frac{{2a - b}}{{2a(2a + b) \times b(b + 2a)}} - \frac{{2a}}{{2a(2a + b) \times b(b + 2a)}}$

Step 4: Combine the fractions:

$\frac{{(2a - b) - (2a)}}{{2a(2a + b) \times b(b + 2a)}}$

Now, simplify the numerator:

$\frac{{-b}}{{2a(2a + b) \times b(b + 2a)}}$

So, the simplified expression is $\frac{{-b}}{{2a(2a + b) \times b(b + 2a)}}$.