To expand the expression (2у-3)в кубе, we can use the formula for expanding a binomial cubed:
(a - b)³ = a³ - 3a²b + 3ab² - b³
In this case, let a = 2у and b = 3.
So, substituting these values into the formula, we get:
(2у - 3)³ = (2у)³ - 3(2у)²(3) + 3(2у)(3²) - 3³
Simplifying further, we have:
8у³ - 3(4у²)(3) + 3(2у)(9) - 27
= 8у³ - 12у² + 18у - 27
The expanded form of (2у-3)в кубе is 8у³ - 12у² + 18у - 27.
