Question

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

Answer 1

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

using identity -- ( a + b ) ( a - b ) = a^2 - b ^ 2

( a + b ) ( a - b ) - ( a + b )

Taking ( a + b ) common ,

[ a + b ] [ a - b - 1 ] Ans.

Answer 2

Given Equation is a^2 - b^2 - a - b

= > a^2 + ab - ab - b^2 - a - b

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

= > (a + b)(a - b - 1).


Hope this helps!