list all like terms
6x, -7x^2, 4w^2x, 8wx^2, -9w^2
Three are no like terms in this set.
To identify like terms, we need to look for terms that have the same variable(s) raised to the same exponent(s).
In the given set, we have the following terms:
6x, -7x^2, 4w^2x, 8wx^2, -9w^2
Let's break down each term:
- 6x: This term has the variable x raised to the power of 1.
- -7x^2: This term has the variable x raised to the power of 2.
- 4w^2x: This term has two variables, w and x, with w raised to the power of 2 and x raised to the power of 1.
- 8wx^2: This term has two variables, w and x, with w raised to the power of 1 and x raised to the power of 2.
- -9w^2: This term has the variable w raised to the power of 2.
To find like terms, we compare the variables and exponents. In this case, we can see that none of the terms have the same variable raised to the same exponent. Therefore, there are no like terms in this set.