A rectangle has a height of c^3+6c^2+2c and a width of c^2+1.

Express the area of the entire rectangle.

area = c^5 + 6c^4 + 3c^3 + 6c^2 + 2c

Step-by-step explanation:

Area is the product of height and width:

area = (c^3 + 6c^2 + 2c) (c^2 + 1)

= (c^5 + 6c^4 + 2c^3) + (c^3 + 6c^2 + 2c)

= c^5 + 6c^4 + 3c^3 + 6c^2 + 2c