Question

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Factorize the following:
$9 \times { }^{2} + 6x + 1 - 25y {}^{2}$
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Answer 1

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Qus.) 9x² + 6x + 1 - 25²

Sol.n=>
${9x}^{2} \: + \: 6x \: + \: 1 ) \: - ( { 5y}^{2} ) \\ \\ \: ( \: ( {3x}^{2} ) + 2 \: \times 3x \: \times {1}^{2} )\: - ( {5y}^{2} ) \\ \\ ( {3x + 1) \: }^{2} \: - ( {5y)}^{2} \\ \\ (3x + 1 + 5y) \: (3x + 1 - 5y)$

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