Question

A rectangle has a height of 3 33 and a width of 2 � 2 3 � − 5 2x 2 3x−52, x, squared, plus, 3, x, minus, 5. express the area of the entire rectangle. expression should be expanded.

Answer 1

To find the area of the rectangle, the expression (3x - 5)*(2x^2 + 3x - 52) needs to be expanded by using the distributive property.

Step-by-step explanation:

To find the area of a rectangle, we multiply its length by its width. In this case, the length is 3x - 5 and the width is 2x^2 + 3x - 52. To expand the expression, we distribute the 3x and -5 to each term in the width expression, resulting in:

Area = (3x - 5)*(2x^2 + 3x - 52)

Next, we use the distributive property again to multiply each term in the width expression by 3x and -5 respectively:

Area = 3x * 2x^2 + 3x * 3x + 3x * -52 - 5 * 2x^2 - 5 * 3x - 5 * -52

Simplifying this expression further will give you the expanded form of the area of the rectangle.

Learn more about Expanding Expressions