Mathematics
Factorise :
a2 - b2 - 2b - 1
Factorisation
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Answer
a2 - b2 - 2b - 1
Using the formula
[∵ (x + y)2 = x2 + y2 + 2xy]
= a2 - (b2 + 2b + 1)
= a2 - (b + 1)2
Using the formula
[∵ (x2 - y2) = (x + y)(x - y)]
= (a + (b + 1))(a - (b + 1))
= (a + b + 1)(a - b - 1)
Hence,a2 - b2 - 2b - 1 = (a + b + 1)(a - b - 1)
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