Factorise:
$25 x^{2} - 10 x + 1 - 36 y^{2}$

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Solution

$25 x^{2} - 10 x + 1 - 36 y^{2}$
$= (5 x)^{2} - 2 \times 5 x \times 1 + 1^{2} - (6 y)^{2} = (5 x - 1)^{2} - (6 y)^{2} = (5 x + 6 y - 1) (5 x - 6 y - 1)$

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Factorize the following algebraic expression: $25 x^{2} - 10 x + 1 - 36 y^{2}$

25 x^{2} + 36 y^{2} + 49 z^{2} + 60 x y - 84 y z - 70 z x

25 x^{2} + 36 y^{2} = 225

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