Question

Сократите дробь a^2-b^2/(2a-2b)^2

Answer 1

Вот я сам  решил эту заданию. Ваш ответ.

Answer 2

Вот, сократил вроде бы

Answer 3

To simplify the given fraction $\frac{a^2-b^2}{(2a-2b)^2}$, we can factor the numerator and the denominator and then cancel out any common factors.

Step 1: Factor the numerator and the denominator $a^2-b^2$ can be factored as $(a+b)(a-b)$.

$2a-2b$ can be factored as $2(a-b)$.

Step 2: Cancel out common factors We can cancel out the common factor $(a-b)$ in the numerator and the denominator.

After canceling the common factor, the simplified fraction is:

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

Step 3: Further simplification (optional) If you want to simplify it further, you can cancel out another common factor of 2 in the numerator and denominator:

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

So, the simplified form of the fraction is $\frac{a+b}{2(a-b)}$.