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Prove the following: [[(b+c)^2,a^2,bc]...

Prove the following:
`[[(b+c)^2,a^2,bc],[(c+a)^2,b^2,ca],[(a+b)^2,c^2,ab]]`
=`(a^2+b^2+c^2)(a+b+c)(b-c)(c-a)(a-b)`

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