Question

Evaluating $\sum_{cyc} \frac{a^4}{(a-b)(a-c)}$, where $a=-\sqrt3+\sqrt5+\sqrt7$ , $b=\sqrt3-\sqrt5+\sqrt7$, $c=\sqrt3+\sqrt5-\sqrt7$

score 60 · Answer 1 · 2026-03-27 02:03:15

60

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Evaluating $\sum_{cyc} \frac{a^4}{(a-b)(a-c)}$, where $a=-\sqrt3+\sqrt5+\sqrt7$ , $b=\sqrt3-\sqrt5+\sqrt7$, $c=\sqrt3+\sqrt5-\sqrt7$

Published on 27 Mar 2026 - 2:03

score 43 · Answer 2 · 2021-11-30 05:45:46

43

Views

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score 52 · Answer 3 · 2026-03-26 01:34:37

52

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score 102 · Answer 4 · 2026-03-27 02:01:24

102

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184

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score 80 · Answer 6 · 2021-12-20 13:41:14

80

Views

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score 70 · Answer 7 · 2021-12-22 18:44:26

70

Views

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score 68 · Answer 8 · 2021-12-24 04:28:43

68

Views

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89

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233

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72

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115

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List Question

Evaluating $\sum_{cyc} \frac{a^4}{(a-b)(a-c)}$, where $a=-\sqrt3+\sqrt5+\sqrt7$ , $b=\sqrt3-\sqrt5+\sqrt7$, $c=\sqrt3+\sqrt5-\sqrt7$

Determine if a function is monotonic

Efficient way of simplify sum of product of multiple polynomials

What is the proper math notation for a particular sum of products?

What does Heron's formula naturally deform?

How to solve this equation with symmetric polynomials?

Solving $\sqrt[3]{\sqrt {x-1} - 2} = 1-\sqrt[3]{9-\sqrt{x-1}}$ with symmetric polynomials

If $A$ is a real symmetric matrix with full rank and only simple roots, what can be said about $|B\otimes I+I\otimes B|$, for $B = \sum_k a_k A^k$?

Sum of powers of variables

Invariant polynomial function on Lie algebras.

Factoring the sum of polynomial coefficient "division"

Prove for general form of function at -x containing derivatives of order n

Computing certain polynomials related to symmetric functions and $\lambda$-rings in Sage

Terminology of "algebraically closed rings"

Proof and meanings of Lagrange's theorem for polynomials

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