If X = 5 and Y = 6, what is the value of XY(X^2 - Y)?

To determine the value of the expression XY(X^2 - Y) when X = 5 and Y = 6, the calculation involves several steps.

First, we calculate X multiplied by Y:

• X * Y = 5 * 6 = 30.

Next, we compute X^2:

• X^2 = 5^2 = 25.

Now, we substitute these values into the expression:

• We find (X^2 - Y):

• 25 - 6 = 19.

Now, we substitute back into the expression:

• XY(X^2 - Y) = 30 * 19.

To finish, we multiply:

• 30 * 19 = 570.

Therefore, the correct value of the expression XY(X^2 - Y) when X = 5 and Y = 6 is indeed 570. This value corresponds to one of the answer choices, confirming it as the correct answer.