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Subjects
Mathematics State Board
Class 10
Algebra
Rational Expression and its Operations

1. Multiple choice questions

Exercise condition:

3 m.

1.

\frac{3 y - 3}{y} \div \frac{7 y - 7}{{3 y}^{2}}

is

$\frac{7 (y^{2} - 2 y + 1)}{y^{2}}$
$\frac{{9 y}^{3}}{(21 y - 21)}$
$\frac{9 y}{7}$
$\frac{{21 y}^{2} - 42 y + 21}{{3 y}^{3}}$

2.

y^{2} + \frac{1}{y^{2}}

is not equal to

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

3.

\frac{x}{x^{2} - 25} - \frac{8}{x^{2} + 6 x + 5}

gives

$\frac{x^{2} - 7 x + 40}{(x - 5) (x + 5)}$
$\frac{x^{2} - 7 x + 40}{(x^{2} - 25) (x + 1)}$
$\frac{x^{2} + 10}{(x^{2} - 25) (x + 1)}$
$\frac{x^{2} + 7 x + 40}{(x - 5) (x + 5) (x + 1)}$

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