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

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Answer variants:

\frac{2 (x + 2)}{x + 4}

\frac{x - 1}{x + 1}

\frac{1 - x}{x + 1}

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

\frac{2 (x - 2)}{x - 4}

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

1. Simplify:

(i) \(\frac{(2x + 1)(x - 2)}{x - 4} - \frac{(2x^2 - 5x + 2)}{x - 4} =\)

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

2. 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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12. Five mark exercise problems - III