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Question: Simplify formula

Question:Simplify formula

zz123 45 Maple
simplification
March 13 2022
3

Hello, everyone. I encountered one question on simplification.

I don't know how to plug the conditions

x1^2+y1^2=r^2, x2^2+y2^2=r^2,x3^2+y3^2=r^2,x4^2+y4^2=r^2

and further simplify the formula

4*x1*x2^2*x3 - 4*x1*x2*x3*x4 + 4*x1*x3*y2^2 - 4*x1*x3*y2*y4 - 4*x2^2*x3^2 - 4*x2^2*y2^2 + 4*x2^2*y2*y4 + 4*x2*x3^2*x4 + 4*x2*x4*y2^2 - 4*x2*x4*y2*y4 - 4*x3^2*y2^2 + 4*x3^2*y2*y4 - 4*y2^4 + 8*y2^3*y4 - 4*y2^2*y4^2.

Thank you very much!
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