Answer:
[tex]\boxed{x^3 + 8}[/tex]
Explanation:
To find the area of the rectangle, we must multiply its width and length.
Our length is x² - 2x + 4 and our width is x + 2.
x (x² - 2x + 4) = x³ - 2x² + 4x
2 (x² - 2x + 4) = 2x² - 4x + 8
Arrange the products and add like terms.
[tex]x^3 - 2x^2 + 4x + 2x^2 - 4x + 8[/tex]
[tex]x^3+ \sout{ (- 2x^2+ 2x^2) } + \sout{(4x - 4x )}+ 8[/tex]
[tex]x^3+8[/tex]
