Question

factorise A square minus B squared minus A minus B

Answer 1

A2-B2-A-B
(A2-B2) -(A+B)
= (A+B) (A-B) - (A+B)
=(A+B)[(A-B) -1]

Answer 2

Answer:

$(A+B)(A-B-1)$

Step-by-step explanation:

The given equation is:

$A^2-B^2-A-B$

Simplifying the above given equation, we get

$(A^2-B^2)-(A+B)$

Using the identity, we get

$(A+B)(A-B)-(A+B)$

Taking $(A+B)$ common, we have

$(A+B)(A-B-1)$

which is the required factorized form of the given equation.