Respuesta :

The area of shaded region is the area of the large rectangle minus the area of the smaller one. The solution is in the attachment.

P.S. I hope I didn't make any silly mistake.

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Answer:

[tex]\Huge \boxed{5x^2 +7x-26}[/tex]

Step-by-step explanation:

[tex]\sf Area \ of \ shaded \ region = Area \ of \ whole \ shape - Area \ of \ unshaded \ region[/tex]

[tex]A=(2x+2)(3x-4)-(x-6)(x-3)[/tex]

[tex]\sf Expand \ brackets.[/tex]

[tex]A=6x^2-8x+6x-8-x^2 +9x-18[/tex]

[tex]\sf Combine \ like \ terms.[/tex]

[tex]A=5x^2 +7x-26[/tex]

Ver imagen 09pqr4sT
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