document.write( "Question 37981This question is from textbook Algebra and trigonometry with analytic geometry
\n" ); document.write( ": 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. \r
\n" ); document.write( "\n" ); document.write( "I'm having some difficulty with functions. Thank you for your time. \n" ); document.write( "

Algebra.Com's Answer #23464 by Earlsdon(6294) $\"\"$ $\"About$

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The area of a square with sides equal to x is given by:
\n" ); document.write( " $\"A+=+x%5E2\"$ 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:
\n" ); document.write( " $\"A-a+=+x%5E2-%28x-3%29%5E2\"$ Let's call this area A1.
\n" ); document.write( " $\"A1+=+x%5E2-%28x%5E2-6x%2B9%29\"$ Simplify.
\n" ); document.write( " $\"A1+=+6x-9\"$ This is the remaining area as a function of x. \n" ); document.write( "

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