Question

factorise the following 9 X square + 6 X + 1 - 25 y square

Answer 1

$9x {}^{2} + 6x + 1 - 25y {}^{2} \\ = (9x {}^{2} + 6x + 1) - (5y) {}^{2} \\ = ( \: \:(3x ) {}^{2} + 2 \times 3x \times 1 + (1) {}^{2} \: ) - (5y) {}^{2} \\ = (3x + 1) {}^{2} - (5y) {}^{2} \\ = (3x + 1 + 5y)(3x + 1 - 5y)$

Answer 2

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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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