What is the least common denominator of the rational expressions below?
$\frac{1}{2 x^{2} + 8 x} + \frac{10}{x^{2}}$

$2 (x + 4)$

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$2 x^{2} (x + 4)$

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$2 x (x + 4)$

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$x$

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Solution

The correct option is C
$2 x (x + 4)$

Explanation for the correct option:
Given: $\frac{1}{2 x^{2} + 8 x} + \frac{10}{x^{2}}$
$\frac{1}{2 x^{2} + 8 x} + \frac{10}{x^{2}}$
Taking $2 x$ common from $2 x^{2} + 8 x, weget 2 x (x + 4)$
$∴ LCD = 2 x (x + 4)$
Hence, the correct answer is option (C).

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