Prove the following identities - a32ab32bc32c=2(a-b)(b-c)(c-a)(a+b+c)

Prove the following identities - $|\begin{matrix} a^{3} & 2 & a \\ b^{3} & 2 & b \\ c^{3} & 2 & c \end{matrix}| = 2 (a - b) (b - c) (c - a) (a + b + c)$

Matching exercise

Match the items on the right to the items on the left.

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Step 8

Step 9