Would this have been marked correct?

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The discussion centers on whether a student's expanded expression, 2df + 2f2 - 2de - 2e2, would be marked correct in an exam compared to the book's answer, -2e2 + 2f2 - 2de + 2df. Participants agree that the student's answer is valid and would likely receive full credit, emphasizing that the order of terms does not affect the correctness due to the commutative property of addition. Some caution is noted regarding exceptions in higher-level mathematics, such as vector multiplication. Overall, the consensus is that the student's answer is acceptable and reflects a proper understanding of the material. The discussion concludes with reassurance about the student's approach to the problem.
Gringo123
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I had to expand the brackets in this expression:
2f[d+e+f]-2e[d+e+f]

My answer is:
2df + 2f2 -2de - 2e2

The answer in my book is the same but all the components are in different places:
-2e2 +2f2 -2de + 2df

Would my answer have been ok in an exam?
 
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Yes, definitely!

If you would have had any marks deducted, your teacher has issues.
 
Mentallic is right but it doesn't follow in every case but looking at your standard (may be class II) it is always right for you. In higher classes you will find something different. Like in vector multiplication A x B is not equal to B x A. similarly you'll find that A + B is not equal to B + A. But don't worry about it today.
 
Thanks a lot folks!
 
I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks
Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
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