Question

Factories the following
9x^2 +6x+1-25 y^2​

Answer 1

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• Factorise the polynomial.

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$9 {x}^{2} + 6x + 1 - 25 {y}^{2}$

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

$= {(3x + 1)}^{2} - {(5y)}^{2}$

$= (3x + 5y + 1)(3x - 5y + 1)$

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• $(3x + 5y + 1)(3x - 5y + 1)$