Question

Factor by grouping x² - y² - x - y​

Answer 1

(х-у)(х+у)-(х+у)=(х+у)(х-у-1)

это нужно?:)

Answer 2

To factor the given expression $x^2 - y^2 - x - y$, we can use the method of grouping. First, let's group the terms in pairs:

$$(x^2 - y^2) - (x + y)$$

Now, we can factor $x^2 - y^2$ using the difference of squares formula, which states that $a^2 - b^2 = (a + b)(a - b)$. Applying this to $x^2 - y^2$, we get:

$$(x + y)(x - y) - (x + y)$$

Now, we can see that we have a common factor of $(x + y)$ in both terms. Factoring out $(x + y)$, we get:

$$(x + y)(x - y - 1)$$

So, the factored form of the expression $x^2 - y^2 - x - y$ is $(x + y)(x - y - 1)$.