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Factorisation of Quadratic Polynomials

Factorise: 25...

Question

Factorise:

$25 a^{2} - 9 b^{2}$

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Solution

$25 a^{2} - 9 b^{2} = (5 a)^{2} - (3 b)^{2} = (5 a - 3 b) (5 a + 3 b)$

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