Write an algebraic expression for "15 less than the product of the square of x and 5."

5x^2 - 15

To write an algebraic expression for "15 less than the product of the square of x and 5," we can break it down step by step.

First, let's start with the product of the square of x and 5. The square of x can be written as x^2, so the product of the square of x and 5 is 5 * x^2.

Next, we need to subtract 15 from this product. To do that, we can simply subtract 15 from our expression: 5 * x^2 - 15.

Therefore, the algebraic expression for "15 less than the product of the square of x and 5" is 5 * x^2 - 15.