Question

1 / x-y - 1 / x+y срочно даю 20-30 баллов

Answer 1

$\frac{1}{x - y} - \frac{1}{x + y} = \frac{x + y - x + y}{ {x}^{2} - y {}^{2} } = \frac{y + y}{x {}^{2} - y {}^{2} } = \frac{2y}{x {}^{2} - y {}^{2} }$

Answer 2

To simplify the expression (1 / x-y - 1 / x+y), we need to find a common denominator for the two fractions.

The common denominator is (x-y)(x+y). Multiplying the first fraction by (x+y) / (x+y) and the second fraction by (x-y) / (x-y), we get:

1 / x-y * (x+y) / (x+y) - 1 / x+y * (x-y) / (x-y)

Expanding the fractions, we have:

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

Combining the two terms with a common denominator, we get:

(2y) / (x^2 - y^2)

Therefore, the simplified expression is:

2y / (x^2 - y^2)

I hope this helps! Let me know if you have any further questions.