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## Homework Statement

Is this equation valid?

A

_{xy}= B

^{z}

_{z}B

_{xz}+ C

_{xy}B

_{xy}B

^{xy}

## The Attempt at a Solution

B

^{z}

_{z}B

_{xz}= B

^{z}

_{xz+z}(I think)

C

_{xy}B

_{xy}B

^{xy}= J

^{xy}

_{2xy}(I think)

so A

_{xy}= B

^{z}

_{xz+z}+ J

^{xy}

_{2xy}

My reasoning:

Since the two terms on the RHS do not share the same index structure, they cannot be added, and they do not share the same index structure with the LHS either.

So this equation is not possible, right?