Expand the following expression: (𝑐+6)(𝑐+2)(c+6)(c+2)

First, let's expand the first two terms and the last two terms separately:

(𝑐+6)(𝑐+2) = c^2 + 2c + 6c + 12 = c^2 + 8c + 12

(c+6)(c+2) = c^2 + 2c + 6c + 12 = c^2 + 8c + 12

Now, let's multiply these two results together:

(c^2 + 8c + 12)(c^2 + 8c + 12)

= c^4 + 8c^3 + 12c^2 + 8c^3 + 64c^2 + 96c + 12c^2 + 96c + 144

= c^4 + 16c^3 + 88c^2 + 192c + 144

So, the expanded form of the expression (𝑐+6)(𝑐+2)(c+6)(c+2) is c^4 + 16c^3 + 88c^2 + 192c + 144.