Question

(b3+5a) (5a-b3)3-степень​

Answer 1

Ответ:

Смотри решение на фото

Answer 2

To find the third power (cubed) of the expression (b^3 + 5a)(5a - b^3), you can use the binomial theorem or simply expand the expression by multiplying it by itself twice. Here's the expanded form:

(b^3 + 5a)(5a - b^3)(b^3 + 5a)

First, multiply the first two expressions:

(b^3 + 5a)(5a - b^3) = 5a(b^3) - b^3(5a) + 5a(5a) - (b^3)(b^3)

Now, simplify this expression:

5ab^3 - 5ab^3 + 25a^2 - b^6

The first two terms (5ab^3 and -5ab^3) cancel each other out.

Now, we have:

25a^2 - b^6

To find the third power of this expression, simply raise it to the third power:

(25a^2 - b^6)^3

You can use the binomial theorem or expand it manually, but it will be a lengthy expression. If you need the fully expanded form, please let me know.