A rectangle has a height of 4w^3 and a width of 5w^2-3w-4.

Express the area of the entire rectangle.

Step-by-step explanation:

Area of the entire rectangle = height * width

= 4w³ * (5w²-3w-4)

= 4w³ * 5w² - 4w³ * 3w - 4w³ * 4

=20w⁵ - 12w⁴ - 16w³

20w^5 - 12w^4 - 16w^3

Step-by-step explanation:

Area of rectangle = length * breadth (or height in this case) of the rectangle

Basically, you multiply both sides of the rectangle

So, area of rectangle = 4w^3 (5w^2 - 3w - 4)

Expand.

Area of rectangle = 4w^3 (5w^2) - 4w^3 (3w) - 4w^3 (4)

Then you open the brackets which will give you the answer 20w^5 - 12w^4 - 16w^3

Note that the numbers are all multiplied and for the powers of w, the powers are added when multiplied.

For example, y (y^2) = y^3