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Factors of Algebraic Expressions and Factorisation

Factorise:a2-...

Question

Factorise:
a²– b² – a – b

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Solution

$a^{2} - b^{2} - a - b = (a + b) (a - b) - 1 (a + b) [a^{2} - b^{2} = (a + b) (a - b)] = (a + b) [(a - b) - 1] = (a + b) (a - b - 1)$

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