IDNStudy.com, ang iyong mapagkukunan para sa malinaw at maaasahang mga sagot. Anuman ang kahirapan ng iyong mga tanong, ang aming komunidad ay may mga sagot na kailangan mo.

The width of a rectangle is (x + 2) and the length is (x2 – 2x + 4). Find the area of the rectangle.

with full solution pls ​


Sagot :

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]