Question

8a^3+b3 27x^3-1/8y^3 упростить

Answer 1

Объяснение:

вот надеюсь правильно

Answer 2

To simplify the given expressions, let's start with each one:

1. 8a^3 + b^3:

There doesn't seem to be any like terms that can be combined further in this expression, so it remains as is.

2. 27x^3 - (1/8)y^3:

To simplify further, we'll use the formula for the difference of cubes, which states that a^3 - b^3 = (a - b)(a^2 + ab + b^2):

27x^3 - (1/8)y^3 can be written as (3x)^3 - (1/2)^3(y)^3.

Using the formula, we get:

(3x - 1/2y)((3x)^2 + (3x)(1/2y) + (1/2y)^2)

Now, we simplify the second term:

(3x)^2 = 9x^2 (3x)(1/2y) = (3/2)xy (1/2y)^2 = (1/4)y^2

So, the simplified expression is:

(3x - 1/2y)(9x^2 + (3/2)xy + (1/4)y^2)

Thus, the simplified expressions are:

1. 8a^3 + b^3
2. (3x - 1/2y)(9x^2 + (3/2)xy + (1/4)y^2)