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Find the area of the shaded region in the image below. Write your answer as a simplified polynomial in standard form.

Find the area of the shaded region in the image below. Write your answer as a simplified-example-1
User Bakkay
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1 Answer

3 votes

Answer:

6x^2+17x+9

Explanation:

you have to subtract the area of the white rectangle from the area of the entire rectangle

to find the area of the inner rectangle do (2x-3)*(x+1)=2x^2-3x+2x-3=2x^2-x-3

to find the area of the entire rectangle do (4x+6)*(2x+1)=8x^2+12x+4x+6=8x^2+16x+6

(8x^2+16x+6)-(2x^2-x-3)=8x^2+16x+6-2x^2+x+3=6x^2+17x+9

User Sumitkanoje
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