(2у-3)в кубе

To simplify the expression (2у-3)³, we can use the binomial expansion formula. The formula states that (a+b)³ = a³ + 3a²b + 3ab² + b³. In this case, a = 2у and b = -3.

Using the formula, we can expand (2у-3)³ as follows:

(2у-3)³ = (2у)³ + 3(2у)²(-3) + 3(2у)(-3)² + (-3)³

Simplifying further:

= 8у³ + 12у²(-3) + 6у(-3)² + (-27)

= 8у³ - 36у² + 54у - 27

So, the simplified form of (2у-3)³ is 8у³ - 36у² + 54у - 27.