Factorise:

Question:

Factorise:

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

 

Solution:

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

$=(a+b)(a-b)-1(a+b) \quad\left[a^{2}-b^{2}=(a+b)(a-b)\right]$

$=(a+b)[(a-b)-1]$

$=(a+b)(a-b-1)$

 

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