He perimeter of a rectangle is represented by 4x2 + 5x ? 2. The perimeter of a smaller rectangle is represented by x2 + 3x + 5. Which polynomial expression BEST represents how much larger the first rectangle is than the smaller rectangle?

Respuesta :

Answer:

The perimeter of first rectangle is [tex]3x^2+2x-7[/tex] much larger than the smaller rectangle.

Step-by-step explanation:

The perimeter of a rectangle is represented by

[tex]4x^2+5x-2[/tex]

The perimeter of a smaller rectangle is represented by

[tex]x^2+3x+5[/tex]

The difference of perimeter of rectangle and smaller rectangle is

[tex]4x^2+5x-2-(x^2+3x+5)[/tex]

[tex]4x^2+5x-2-x^2-3x-5[/tex]

Combine like terms.

[tex](4x^2-x^2)+(5x-3x)+(-2-5)[/tex]

[tex]3x^2+2x-7[/tex]

The perimeter of first rectangle is [tex]3x^2+2x-7[/tex] much larger than the smaller rectangle.