Question

Factorize:
(1 - a^2) (1 - b^2) + 4ab​

Answer 1

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

Explanation:

• (1 - a²) (1 - b²) + 4ab​=
• 1 -a²-b² +a²b² +4ab =
• (a²b² +2ab +1 )- (a²-2ab+b²)=
• (ab+1)² - (a-b)²=
• (ab+1 +a-b)(ab+1 -a+b)=
• (ab+a-b+1)(ab-a+b+1)