Factorise a square - b Square - 2b -1
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Answered by
34
a^2 - b^2 - 2b - 1
=> a^2 - [ b^2 +2b +1]
=> a^2- [ b^2 +b +b +1]
=> a^2 - [ b(b+1) +1(b+1)]
=> a^2 - [ (b+1)(b+1)]
=> a^2 - (b+1)^2
=> ( a+b+1) (a-b-1)
=> a^2 - [ b^2 +2b +1]
=> a^2- [ b^2 +b +b +1]
=> a^2 - [ b(b+1) +1(b+1)]
=> a^2 - [ (b+1)(b+1)]
=> a^2 - (b+1)^2
=> ( a+b+1) (a-b-1)
Answered by
6
a^2 - b^2 - 2b - 1
=> a^2 - [ b^2 +2b +1]
=> a^2- [ b^2 +b +b +1]
=> a^2 - [ b(b+1) +1(b+1)]
=> a^2 - [ (b+1)(b+1)]
=> a^2 - (b+1)^2
=> ( a+b+1) (a-b-1)
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