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what js the complete factored form of 4a²-4a²b+a²b²

Sagot :

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Solution:

4a² - 4a² b + a² b²

= 4a² - 2a² b - 2a² b + a² b²

= 2a²(2 - b) - a²b(2 - b)

= (2a² - a²b)(2 - b)

= a²(2 - b)(2 - b)

= a²(2 - b)²

= a²(b - 2)²

The answer is: a²(b - 2)²

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