Two mark example problems - I — task. Mathematics State Board, Class 10.

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1. Reduce the rational expressions to their lowest form.

(i) \(\frac{x - 3}{x^2 - 9} =\)

\frac{i}{i + i}

(ii) \(\frac{x^2 - 16}{x^2 + 8x + 16} =\)

\frac{i - i}{i + i}

2. Find the excluded values of the following expressions (if any).

(i) \(\frac{x + 10}{8x}\)

Answer:

The excluded value is .

(ii) \(\frac{7p + 2}{8p^2 + 13p + 5}\)

Answer:

The excluded values are

\frac{i}{i}

and .

(iii) \(\frac{x}{x^2 + 1}\)

Answer:

There are for the given rational expression.

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2. Two mark example problems - I