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## Homework Statement

If [itex]A_{ij}[/itex] is a skew-symmetric tensor, and [itex]B_{ij}[/itex] is a second-order tensor, evaluate the expression

[tex](B_{ij} B_{kl} + B_{il}B_{kj})A_{ik}[/tex]

and express the final answer in its simplest form.

## Homework Equations

For a skew-symmetric tensor, [itex]A_{ik}=-A_{ki}[/itex]

## The Attempt at a Solution

I'm stuck and unsure what's the first step. I notice that the expression in the bracket looks similar to what happens when two Levi-Civita symbols come together to form an expression of two pairs of the Kronecker delta. Other than that I'm quite lost. Can I get a tip please?