A rectangle has a height of 4w^3 and a width of 5w^2-3w-4 what is the area

A = 5w^5 - 3w^4 - 4w^3

Step-by-step explanation:

The area of a rectangle

A = (l * b)

A - area of a rectangle

l - length/height of a rectangle

b - breadth / width of a rectangle

Given

h = 4w^3

w = 5w^2 - 3w - 4

A = h * w

A = 4w^3 * 5w^2 - 3w - 4

= 4w^3 (5w^2 - 3w - 4)

Hint: 4w^3 * 5w^2 = 20w^5

w^3 * w^2 = w^3+2

= w^5

4w^3 * - 3w = - 12w^4

w^3 * w = w^3 + 1

= w^4

4w^3 * - 4 = - 16w^3

Collect the terms

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

Simply further by dividing through by 2

= 10w^5 - 6w^4 - 8w^3

Simply by dividing through by 2

= 5w^5 - 3w^4 - 4w^3