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Leni [432]
3 years ago
9

Factorize:(1 - a^2) (1 - b^2) + 4ab​

Mathematics
1 answer:
serious [3.7K]3 years ago
3 0

Answer:

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

Step-by-step 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)
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