Five mark exercise problems X — task. Mathematics State Board, Class 10.

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Answer variants:

$\frac{{4 x}^{2} - 1}{2 ({4 x}^{2} + 1)}$

$\frac{{4 x}^{2} + 1}{2 ({4 x}^{2} - 1)}$

If

$A$

$=$

$\frac{2x + 1}{2x - 1}$ ,

$B$

$=$

$\frac{2x - 1}{2x + 1}$ find

$\frac{1}{A - B} - \frac{2B}{A^2 - B^2}$ .

Answer:

The value of

$\frac{1}{A - B} - \frac{2B}{A^2 - B^2}$ is

.

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