Makakuha ng mga maaasahang sagot sa iyong mga tanong sa IDNStudy.com. Ang aming platform ng tanong at sagot ay idinisenyo upang magbigay ng mabilis at eksaktong sagot sa lahat ng iyong mga tanong.

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]