Question

A rectangle has a height of b3 + b2 and a width of b2 + 76 + 4.

Answer 1

The area is:

`{b}^(5) + 8 {b}^(4) + 11 {b}^(3) + 4 {b}^(2)`

Explanation:

To find the area of a rectangle, multiply the width by the height (I'll be using x for b, as it is easier when writing the equations):

`a = ({x}^( 3) + {x}^(2) )( {x}^(2) + 7x + 4) \\ a = {x}^(5) + 7{x}^(4) + 4 {x}^(3) \\ + {x}^(4) + 7 {x}^(3) + 4 {x}^(2) \\ a = {x}^(5) + 8 {x}^(4) + 11 {x}^(3) + 4 {x}^(2)`