Question

(1+ab+a+b)^2-(1-ab+a-b)^2​

Answer 1

Answer:

4a^2b+8ab+4b

Step-by-step explanation:

Identity used :

$a {}^{2} - b {}^{2} = (a + b)(a - b)$

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

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

= (2+2a)(2ab+2b)

= 4ab+4b+4a^2b+4ab

=4a^2b+8ab+4b