Math Problem Statement
已知:a不等于b,a^2+b=b^2+c=c^2+a
求证:2(a+b+c)=a^2+b^2+c^2+3(bc+ca+ab)
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Simultaneous Equations
Polynomial Equations
Formulas
a^2 + b = b^2 + c = c^2 + a
2(a+b+c) = a^2 + b^2 + c^2 + 3(bc+ca+ab)
Theorems
Symmetry in Equations
Polynomial Identity
Suitable Grade Level
Grades 10-12
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