3 years ago

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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Factorize:(1 - a^2) (1 - b^2) + 4ab​

Factorize:(1 - a^2) (1 - b^2) + 4ab