Final answer:
The expression representing the area of a rectangle with width 2x and length x² - x + 3 is 2x³ - 2x² + 6x.
Step-by-step explanation:
The area of a rectangle is found by multiplying the width by the length. In this case, the width of the rectangle is represented by 2x, and the length is represented by x2 - x + 3. To get the expression representing the area, we multiply these two expressions:
Area = width × length
Area = (2x) × (x² - x + 3)
Applying the distributive property:
Area = 2x ×x²+ 2x × (-x) + 2x × 3
Area = 2x³ - 2x² + 6x.
So, the expression that represents the area of the rectangle is2x³ - 2x² + 6x.