Sum of 3x^3+8,2x^2+5x and x^3+2x^2-3x-3

4x^3 + 4x^2 + 2x + 5

Step-by-step explanation:

To add expressions where many different variables are used, be sure to remember like terms. Like terms are terms which have the same variable bases and exponents. For instance a and b are different bases but ab and ab are the same. a^2b and ab^2 are different bases while a^2b^2 and a^2b^2 are the same. Both the variable and the exponents must be the same.

In this expression, there is 1 variable with three types of exponents. x^3, x^2, and x should be combined only with the same type.

3x^3+8 + 2x^2+5x + x^3+2x^2-3x-3

3x^3 + x^3 = 4x^3 2x^2 + 2x^2 = 4x^2 5x - 3x = 2x 8 - 3 = 5

The simplified expression is 4x^3 + 4x^2 + 2x + 5