SOLUTION: From a square piece of cardboard with width x inches, a square of width x-3 inches is removed from the center. Write the area of the remaining piece as a function of x. I'm h

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Question 37981This question is from textbook Algebra and trigonometry with analytic geometry
: From a square piece of cardboard with width x inches, a square of width x-3 inches is removed from the center. Write the area of the remaining piece as a function of x.
I'm having some difficulty with functions. Thank you for your time. This question is from textbook Algebra and trigonometry with analytic geometry

Answer by Earlsdon(6098) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a square with sides equal to x is given by:
A+=+x%5E2 Now if you remove a square of sides (x-3), the area of the removed square is given by: a = (x-3)^2, so the remaining area is:
A-a+=+x%5E2-%28x-3%29%5E2 Let's call this area A1.
A1+=+x%5E2-%28x%5E2-6x%2B9%29 Simplify.
A1+=+6x-9 This is the remaining area as a function of x.