Determine whether 3p^2qd and (2qdp•-5d^2p) are terms that can be combined explain your reasoning

Solution:
1. Given terms:
- First term: 3p^2qd
- Second term (simplify): (2qdp \cdot -5d^2p)

2. Simplify the second term:
* Simplify the coefficients: 2 \cdot -5 = -10
* Simplify the variables:
- Multiply the variables: qdp \cdot d^2p = q \cdot d \cdot p \cdot d^2 \cdot p = qd^3p^2

So, the second term becomes: -10qdp^2d^2 = -10p^2qd^3

3. Compare terms:
* The first term is 3p^2qd
* The second term (simplified) is -10p^2qd^3

4. A criteria for like terms:
* Like terms must have the same variables raised to the same powers.
* Check the variables and their powers:
- First term: p^2qd
- Second term: p^2qd^3
* The power of d is different: d^1 vs d^3

5. Conclusion:
* Since the powers of d are different, the terms are not like terms and cannot be combined.