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So consider the following product of matrices:

[itex] (p_{1}^{\mu}\cdot p_{1}^{\prime\nu} -(p_{1}\cdot p_{1}')\eta^{\mu\nu}+p_{1}^{\nu}p_{1}^{\prime\mu})(p_{2\mu}p_{2\nu}'-(p_{2}\cdot p_{2}')\eta_{\mu\nu}+p_{2\nu}p_{2\mu}') [/itex]

where eta is the Minkowski metric.

I keep getting

[itex]2(p_{1}\cdot p_{2})(p_{1}'\cdot p_{2}')+2(p_{1}\cdot p_{2}')(p_{1}'\cdot p_{2}) - 3(p_{1}\cdot p_{1}')(p_{2}\cdot p_{2}')[/itex]

But apparently its wrong; I'm meant to get just

[itex]2(p_{1}\cdot p_{2})(p_{1}'\cdot p_{2}')+2(p_{1}\cdot p_{2}')(p_{1}'\cdot p_{2}) [/itex]

Cant figure it out for the life of me -- someone please help!!!

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# Can't get this product of Lorentz matrices right -- help please

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