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Find the area of the trapezoid as a simplified expression.
8x^2 + 3x + 4x^2 + 2x^3 - x



Sagot :

The simplified expression for the area of the trapezoid is [tex]2x^3+ 12x^2 + 2x[/tex]

What is area?

The area of a shape is the amount of space the shape occupies

What is a simplified expression?

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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