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

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Multiple Choice

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

Explanation:
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.

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.

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