Calculating 4x^5 - 4y with Substitution

In this article, we will walk through the step-by-step process of calculating the expression 4x^5 - 4y, where x = -3 and y = 5.

Step 1: Understand the Expression

The expression we are given is 4x^5 - 4y. This is a polynomial expression, where x and y are variables, and the goal is to calculate the value of the expression when specific values are assigned to those variables.

Step 2: Substitute the Values for x and y

We are told that x = -3 and y = 5. Let's substitute these values into the expression:

4x^5 - 4y Substituting x = -3: 4(-3)^5 - 4y Simplifying the exponent: 4(-243) - 4y Multiplying the coefficient and the exponent: -972 - 4y

Step 3: Substitute the Value for y

Now, we need to substitute the value of y = 5 into the expression:

-972 - 4y Substituting y = 5: -972 - 4(5) Multiplying the coefficient and the value of y: -972 - 20 Simplifying the expression: -992

Final Result

Therefore, the value of the expression 4x^5 - 4y, where x = -3 and y = 5, is -992.