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The simplified expression for the area of the trapezoid is [tex]2x^3+ 12x^2 + 2x[/tex]
The area of a shape is the amount of space the shape occupies
A simplified expression involves rewriting an expression in a simpler form
The area of the trapezoid is given as:
[tex]Area = 8x^2 + 3x + 4x^2 + 2x^3 - x[/tex]
Collect like terms
[tex]Area = 2x^3+ 8x^2 + 4x^2 + 3x - x[/tex]
Evaluate the like terms
[tex]Area = 2x^3+ 12x^2 + 2x[/tex]
Hence, the simplified expression for the area of the trapezoid is [tex]2x^3+ 12x^2 + 2x[/tex]
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