Question

Упростите выражение: 4/x+4-x/x-4

Answer 1

$\frac{4}{x+4}- \frac{x}{x-4}= \frac{4(x-4)-x(x+4)}{(x+4)(x-4)}= \frac{4x-16-x^2-4x}{(x+4)(x-4)}= \\ \\ = \frac{-16-x^2}{(x+4)(x-4)}= - \frac{x^2+16}{x^2-16}= \frac{x^2+16}{16-x^2}$

Answer 2

=4/x-1
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