Let's combine the like terms in the expression:
The expression is: \[ 5q^2r + 3qr^3 + 2qr^3 + qr^3 - qr^3. \]
First, we identify the like terms:
- \(5q^2r\) has no like terms.
- For the \(qr^3\) terms: \(3qr^3 + 2qr^3 + qr^3 - qr^3\).
Now, let's combine the \(qr^3\) terms: \[ 3qr^3 + 2qr^3 + qr^3 - qr^3 = (3 + 2 + 1 - 1)qr^3 = 5qr^3. \]
Now we can rewrite the entire expression: \[ 5q^2r + 5qr^3. \]
Thus, the final combined expression is: \[ 5q^2r + 5qr^3. \]