Question

А²-4ау+4у²-49 подати у вигляді добутку ​

Answer 1

Ответ:

a²-4aу+4у²-49=(а-2у)²-7²=(а-2у-7)(а-2у+7)

Объяснение:

Answer 2

Factoring the Expression

To factor the expression A² - 4AU + 4U² - 49, we can use the difference of squares formula, which states that a² - b² = (a + b)(a - b). In this case, we can rewrite the expression as (A - 2U)² - 49.

Now, we have a difference of squares: (A - 2U)² - 7². This can be factored further using the difference of squares formula as ((A - 2U) + 7)((A - 2U) - 7).

So, the factored form of the expression A² - 4AU + 4U² - 49 is ((A - 2U) + 7)((A - 2U) - 7).

This method of factoring is commonly used in algebra to simplify and solve polynomial expressions.