Question

`\large{\underline{\underline{\pmb{\sf{\color {yellow}{Question:}}}}}}`

Factorize

`\frac{ {x}^(2) }{36} - \frac{ {y}^(2) }{4a}`
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Answer 1

`( (x)/(6) + (y)/(2 √(a) ) )( (x)/(6) - (y)/(2 √(a) )`

Explanation:

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⠀⠀Question :

`\sf \large\frac{ {x}^(2) }{36} - \frac{ {y}^(2) }{4a}`

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⠀⠀Solution :

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Using (a² - b²) identity

(a² - b²) = (a + b)(a - b)

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`\sf \large {( (x)/(6)) }^(2) - {( (y)/(2 √(a) )) }^(2) \\ \\ \boxed{ \large {\tt( (x)/(6) + (y)/(2 √(a) ) )( (x)/(6) - (y)/(2 √(a) ) )}}`