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Factorisation by Regrouping Terms

Factorise: 25...

Question

Factorise:
$25 - a^{2} - b^{2} - 2 a b$

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Solution

$25 - a^{2} - b^{2} - 2 a b = 25 - (a^{2} + b^{2} + 2 a b) = (5)^{2} - (a + b)^{2} = (5 + a + b) (5 - a - b) A n s .$

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