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Find an algebraic expression that represents the area of the shaded region.

Find an algebraic expression that represents the area of the shaded region.-example-1
User Dchar
by
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1 Answer

5 votes
5 votes

Answer:


2x^2+7x-16

Explanation:


x(3x-1)-(x-4)^2

Use distributive:
x(3x-1)=3x^2-x

Use square of a binomial formula :
(a-b)^2=a^2-2ab+b^2


(x-4)^2=x^2-8x+16


3x^2-x-(x^2-8x+16)=3x^2-x-x^2+8x-16=2x^2+7x-16

The answer is
2x^2+7x-16

Hope this helps :)

Have a nice day!

User Rohith Balaji
by
2.6k points