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Prove that |{:((b+c)^(2),a^(2),a^(2)),...

Prove that
`|{:((b+c)^(2),a^(2),a^(2)),(b^(2),(c+a)^(2),b^(2)),(c^(2),c^(2),(a+b)^(2)):}|=2abc(a+b+c)^(3)`

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The correct Answer is:
`2abc(a+b+c)^(2)`
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