document.write( "Question 598693: Help Please\r
\n" ); document.write( "\n" ); document.write( "1. Essay: Show all work. Find the following quotient: \r
\n" ); document.write( "\n" ); document.write( "64x^2 – 100 y^2
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\n" ); document.write( " 8x + 10y\r
\n" ); document.write( "\n" ); document.write( "2. Short Answer. The length of the side of a rectangular desk is given by 2x - 6y cm. The length of the front is given by 2x + 6y cm. What is an algebraic expression for the area of the top of the rectangular desk? Include correct units as part of your answer.
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Algebra.Com's Answer #378707 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
(64x^2–100x^2)/(8x+10y)
\n" ); document.write( "You should recognize the numerator as the \"difference of squares\"; can be factored to:
\n" ); document.write( "\"%28%288x%2B10y%29%288x-10y%29%29%2F%288x%2B10y%29\"
\n" ); document.write( "Cancel out (8x+10y) leaving
\n" ); document.write( "8x-10y
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\n" ); document.write( "2. Short Answer. The length of the side of a rectangular desk is given by 2x - 6y cm. The length of the front is given by 2x + 6y cm. What is an algebraic expression for the area of the top of the rectangular desk? Include correct units as part of your answer.
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\n" ); document.write( "A = L * W
\n" ); document.write( "A = (2x-6y)*(2x+6y)
\n" ); document.write( "FOIL
\n" ); document.write( "A = 4x^2 + 12xy - 12xy - 36y^2
\n" ); document.write( "A = 4x^2 - 36y^2 sq/cm
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