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If x+y+z =0, t hen prove that (x 3​ +y 3​ +z 3​ )/3+(x 5​ +y 5​ +z 5​ )/5 = (x 7​ +y 7​ +z 7​ )/7 please help me out experts please answer

If x+y+z =0, then prove that
(x3​+y3​+z3​)/3+(x5​+y5​+z5​)/5 = (x7​+y7​+z7​)/7
please help me out
 
experts please answer
 

 

Grade:12

1 Answers

Prabhakar ch
577 Points
8 years ago
x^7 + y^7 = (x + y)(x^6 - x^5y + x^4y^2 - x^3y^3 + x^2y^4 - xy^5 + y^6). Source(s), click Factor, under Algebra, type in x^7 + y^7, and it will factor it for you. If you notice, it puts the y

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