33xy / 3x

Wouldn't that just be 11xy?

33xy/3x = 11y.

Note: x/x = 1. So the Xs actually cancel.

To simplify the expression 33xy / 3x, we need to simplify each term separately and then divide them. Let's break it down step by step:

Step 1: Simplify the numerator (33xy):
We cannot simplify 33 any further since it is already a prime number.
We can simplify x * y as xy since they represent two separate variables without any operations or exponents between them.

So, the numerator (33xy) remains the same.

Step 2: Simplify the denominator (3x):
We cannot simplify 3 any further, as it is already a prime number.
We can cancel out one 'x' from the numerator and the denominator since they are both multiplied in the expression.

So, the simplified denominator is just 1.

Now, let's simplify the whole expression by dividing the numerator by the denominator:

33xy / 3x = (33xy) / (3x) = (33 / 3) * (xy / x) = 11 * y = 11y

Therefore, the final simplified expression is 11y, not 11xy.