Answer:
The area of shaded region
[tex]4x^2+4x+6[/tex]
Step-by-step explanation:
We are given that the area of rectangle
[tex]13x^2-4x+10[/tex]
The area of trapezoid represented by
[tex]9x^2-8x+4[/tex]
We have to find the expression to represent the area of the shaded region.
To find the area of shaded region we will subtract the area of trapezoid from the area of rectangle.
Therefore, the area of shaded region
Area of rectangle-Area of trapezoid
[tex]13x^2-4x+10-(9x^2-8x+4)[/tex]
[tex]13x^2-4x+10-9x^2+8x-4[/tex]
[tex]4x^2+4x+6[/tex]
Hence, the area of shaded region
[tex]4x^2+4x+6[/tex]
