Show that 2821 is a Carmichael number.

Let V, E, and F be the number of vertices, number of edges, and number of faces of a cube. Consider the following Pascal-like triangle, but we define each entry in the triangle, other than those on the boundary of the triangle, is obtained by the difference of two entries in the row above. For example, h² = E − h} and h² = h} – 1. Find the value of h. 1 1 1 1_hỉ h² 1 h² h F E h²/22 V 3 3 h² h²

Prove the following using trig identities

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