Question

Сократите дробь:

Answer 1

$\frac{x^4-y^4}{x^3+xy^2-x^2y-y^3}= \frac{(x^2-y^2)(x^2+y^2)}{(x^3-x^2y)+(xy^2-y^3)}= \frac{(x^2-y^2)(x^2+y^2)}{x^2(x-y)+y^2(x-y)}=$
$=\frac{(x^2-y^2)(x^2+y^2)}{(x-y)(x^2+y^2)}= \frac{x^2-y^2}{x-y} = \frac{(x-y)(x+y)}{x-y} =x+y$

Answer 2

Simplifying a Fraction

To simplify the given fraction, we can use the provided snippet from Source The snippet shows the steps to simplify the fraction 5/5.

The steps are as follows: 1. 5 (5/5) = 5 * 1 = 4 2. (5 5)/5 = (5/5) * 1 = 1 3. (5/5) = 5 4. (5/5) = 5 * 5 / 5 * 5 = 5 5. (5/5) * 1 = (5) * 1 = 5

So, the simplified form of 5/5 is 5.

Therefore, the simplified form of the given fraction is 5.