Question

Сокатить дробь (a-b)^2/b^2-a^2

Answer 1

B-a/b+a
.............

Answer 2

(a-b)²/b²-a²=-((a-b)²/a²-b²)=-((a-b)²/(a-b)(a+b))=-(a-b)/(a+b)

Answer 3

To simplify the given expression, we need to factorize the numerator first. The expression is:

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

To factorize the numerator, we can use the identity $a^2 - b^2 = (a - b)(a + b)$:

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

Now, we can factor out a $(-1)$ from $(b - a)$ to match it with $(a - b)$:

$\frac{(a - b)^2}{b^2 - a^2} = \frac{(a - b)^2}{(-1)(a - b)(b + a)}$

Next, we can cancel out the common factor $(a - b)$ in the numerator and denominator:

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

Finally, we can rearrange the terms to get the simplified expression:

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

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