In the expression 3x3y + 5x2y + 9, we are looking for the number of variable terms. A variable term is defined as a term that includes at least one variable. In this expression, we have three terms: 3x3y, 5x2y, and 9.
– The first term, 3x3y, contains the variables x and y.
– The second term, 5x2y, also contains x and y.
– The third term, 9, is a constant term and does not contain any variables.
Thus, the variable terms are the first and second terms. Therefore, the total number of variable terms in the expression is 2.