I have solved a cross product of $(a \times b )\cdot (c \times d) $
I expressed the above equation in this way :
$$\epsilon_{ijk} a_jb_k \epsilon_{min} c_m d_n$$ And by using the kronecker delta function i got this result = $$(a \cdot c ) (b \times d) - (a \cdot d )( (b \times c) $$
My problem is that i'm solving another equation which is:
$(a \times b )\times (c \times d) $ which should be equal to $$a \cdot (b \times d) c - a \cdot (b \times c) d $$ but i'm messing with the tensor equations because i see another cross product. Can you help me how to deal with the multiple cross product by levi_civita tensor analysis?