Question

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

Answer 1

Answer:

NICE QUESTION

Step-by-step explanation:

Answer 2

Answer:

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

Step-by-step explanation:

Rewrite the expression as  

a

2

-

b

2

+ab -

b

2

+2a -2b. Now pair the terms as (

a

2

-

b

2

) +(ab -

b

2

) +(2a -2b)

= (a-b)(a+b) +b(a-b) +2(a-b)

=(a-b)( a+b +b+2)

=(a-b)(a+2b +2)