The cube of the sum of 5 an 2 is decreased by the square of the product of 6 and 4. Write an expression that models this statement. Then , solve.

IM REALLY STUCK. I HAVE DONE EVERYTHING ELSE BUT THIS QUESTION

Please see my answer above.

To write an expression that models the given statement, let's break it down step by step.

Step 1:
"The cube of the sum of 5 and 2" can be represented as (5 + 2) cubed, or (5 + 2)^3.

Step 2:
"The square of the product of 6 and 4" is simply (6 * 4) squared, or (6 * 4)^2.

Step 3:
Since the cube of the sum is decreased by the square of the product, we subtract the square of the product from the cube of the sum. So the expression becomes:
(5 + 2)^3 - (6 * 4)^2.

Now, let's solve this expression:

Step 1:
Evaluate the exponent of 5 + 2 inside the first parentheses:
(5 + 2)^3 = 7^3.

Step 2:
Evaluate the exponent of 6 * 4 inside the second parentheses:
(6 * 4)^2 = 24^2.

Step 3:
Calculate the values obtained in Step 1 and Step 2:
7^3 = 7 * 7 * 7 = 343,
24^2 = 24 * 24 = 576.

Step 4:
Substitute the calculated values back into the expression:
343 - 576.

Step 5:
Finally, subtract 576 from 343:
343 - 576 = -233.

Therefore, the solution to the expression (5 + 2)^3 - (6 * 4)^2 is -233.