Question

factorise a^2-1-2b-b^2

Answer 1

a^2 -2b - b^2 -1
(a-b)^2 -1^2
(a - b+1) (a-b-1)

Answer 2

Answer:

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

Step-by-step explanation:

Given :$a^2-1-2b-b^2$

To Find : Factorize

Solution:

$a^2-1-2b-b^2$

$a^2-(1+2b+b^2)$

Using identity : $(x+y)^2=x^2+y^2+2xy$

$a^2-(1+2b+b^2)$

$a^2-(1^2+2b+b^2)$

$a^2-(b+1)^2$

Using identity : $a^2-b^2=(a+b)(a-b)$

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

Hence $a^2-1-2b-b^2$ = $(a+b+1)(a-b-1)$