Question

12а³+36а²b+36ab²+12b³​

Answer 1

Ответ:

12а^3+36а^2b+36ab^2+12b^3=12(a^3+3a^2b+3ab^2+b^3)=12(a+b)^3

Объяснение:

ответ

Answer 2

The expression you've provided is a polynomial, and it appears to be a sum of two cubed terms. To simplify it, you can use the factorization technique. In this case, you can factor by grouping:

12a³ + 36a²b + 36ab² + 12b³

First, you can factor out the greatest common factor from the terms with 'a' and 'b':

12a²(a + 3b) + 12b²(a + 3b)

Now, you can see that both terms have a common factor of (a + 3b). You can factor this out as well:

12(a + 3b)(a² + b²)

So, the simplified expression is:

12(a + 3b)(a² + b²)