Question
Determine whether 3p^2qd and (2qdp•-5d^2p) are terms that can be combined explain your reasoning
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Answer to a math question Determine whether 3p^2qd and (2qdp•-5d^2p) are terms that can be combined explain your reasoning
Corbin
4.6107 Answers
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 is3p^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 ofd d^1 d^3
5. Conclusion:
* Since the powers ofd
1. Given terms:
- First term:
- Second term (simplify):
2. Simplify the second term:
* Simplify the coefficients:
* Simplify the variables:
- Multiply the variables:
So, the second term becomes:
3. Compare terms:
* The first term is
* The second term (simplified) is
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:
- Second term:
* The power of
5. Conclusion:
* Since the powers of
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