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Types of Brackets

If a-2 b-2 b-...

Question

If $(a - 2 b) - (2 b - a)$ = $x$ , then $x$ is

A

$2 (a - b)$

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B

$2 (a - 2 b)$

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C

$a - 2 b$

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D

$2 (2 a - b)$

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Solution

The correct option is B
$2 (a - 2 b)$

$(a - 2 b) - (2 b - a)$ = $a - 2 b - 2 b + a$ = $2 a - 4 b$ = $2 (a - 2 b)$

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x = \frac{\sqrt{a + 2 b} + \sqrt{a - 2 b}}{\sqrt{a + 2 b} - \sqrt{a - 2 b}}

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