Remainder for equation with multi-variable
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I was trying to figure out the remiander when $(a+b+c)^{333}-a^{333}-b^{333}-c^{333}$ is devided by $(a+b+c)^3-a^3-b^3-c^3$.
I first tried to factor them but this guy don't factor in any nice way. I don't know much number theory. I think moduler arithmetic might help. But I don't know that properly either. Can some one please help me out?
abstract-algebra number-theory chinese-remainder-theorem
asked 22 hours ago
Mathisfun
365
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up vote
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I was trying to figure out the remiander when $(a+b+c)^{333}-a^{333}-b^{333}-c^{333}$ is devided by $(a+b+c)^3-a^3-b^3-c^3$.
I first tried to factor them but this guy don't factor in any nice way. I don't know much number theory. I think moduler arithmetic might help. But I don't know that properly either. Can some one please help me out?
abstract-algebra number-theory chinese-remainder-theorem
asked 22 hours ago
Mathisfun
365
math.stackexchange.com/questions/288965/…
– lab bhattacharjee
22 hours ago
add a comment |
up vote
2
down vote
favorite
up vote
2
down vote
favorite
I was trying to figure out the remiander when $(a+b+c)^{333}-a^{333}-b^{333}-c^{333}$ is devided by $(a+b+c)^3-a^3-b^3-c^3$.
I first tried to factor them but this guy don't factor in any nice way. I don't know much number theory. I think moduler arithmetic might help. But I don't know that properly either. Can some one please help me out?
abstract-algebra number-theory chinese-remainder-theorem
asked 22 hours ago
Mathisfun
365
I was trying to figure out the remiander when $(a+b+c)^{333}-a^{333}-b^{333}-c^{333}$ is devided by $(a+b+c)^3-a^3-b^3-c^3$.
I first tried to factor them but this guy don't factor in any nice way. I don't know much number theory. I think moduler arithmetic might help. But I don't know that properly either. Can some one please help me out?
abstract-algebra number-theory chinese-remainder-theorem
abstract-algebra number-theory chinese-remainder-theorem
asked 22 hours ago
Mathisfun
365
asked 22 hours ago
Mathisfun
365
edited 32 mins ago
asked 22 hours ago
Mathisfun
365
asked 22 hours ago
Mathisfun
365
asked 22 hours ago
Mathisfun
365
365
math.stackexchange.com/questions/288965/…
– lab bhattacharjee
22 hours ago
add a comment |
math.stackexchange.com/questions/288965/…
– lab bhattacharjee
22 hours ago
math.stackexchange.com/questions/288965/…
– lab bhattacharjee
22 hours ago
math.stackexchange.com/questions/288965/…
– lab bhattacharjee
22 hours ago
add a comment |
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math.stackexchange.com/questions/288965/…
– lab bhattacharjee
22 hours ago