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Please help to solve this problem factorize: (1 - a^2) (1 - b^2) + 4ab​

Please help to solve this problem factorize: (1 - a^2) (1 - b^2) + 4ab​
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4 votes
Please help to solve this problem
factorize:
(1 - a^2) (1 - b^2) + 4ab​

User Atturri
by
8.2k points

1 Answer

5 votes

Answer:

(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)

User Laurenn
by
7.7k points
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