xyz,-xyz,-yxz

How many like terms are there

There are 3 like terms in the given expression: xyz, -xyz, and -yxz.

To determine the number of like terms in the given set of terms, we need to identify terms that have the same variables raised to the same powers.

Looking at the terms "xyz," "-xyz," and "-yxz," we can see that they all have the variables "x," "y," and "z" but in different orders and with different signs.

However, rearranging the terms, we can see that "xyz" and "-xyz" are actually like terms because they have the same variables raised to the same powers (i.e., "xyz" and "-xyz" have x^1, y^1, and z^1). Therefore, there are 2 like terms in the given set of terms.