document.write( "Question 630360: A larger rectangle has another, smaller rectangle inscribed within it. The larger rectangle has sides given by the equation 3x2 + 7x + 6 and 5x + 4. The inner rectangle has sides given by 2x2 + 4x + 3 and 2x + 1.
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\n" ); document.write( "Calculate the area between the two rectangles.
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Algebra.Com's Answer #397017 by ankor@dixie-net.com(22740)\"\" \"About 
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A larger rectangle has another, smaller rectangle inscribed within it.
\n" ); document.write( "The larger rectangle has sides given by the equation 3x2 + 7x + 6 and 5x + 4.
\n" ); document.write( "The inner rectangle has sides given by 2x2 + 4x + 3 and 2x + 1.
\n" ); document.write( "Calculate the area between the two rectangles.
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\n" ); document.write( "Find the areas
\n" ); document.write( "d = \"%28%283x%5E2%2B7x%2B6%29%2A%285x%2B4%29%29\" - \"%28%282x%5E2%2B4x%2B3%29%2A%282x%2B1%29%29\"
\n" ); document.write( "dif in area = large rect area - small rec area
\n" ); document.write( "d = \"%2815x%5E3%2B47x%5E2%2B58x%2B24%29\" - \"%284x%5E3%2B10x%5E2%2B10x%2B3%29\"
\n" ); document.write( "remove brackets
\n" ); document.write( "d = \"15x%5E3%2B47x%5E2%2B58x%2B24+-+4x%5E3-10x%5E2-10x-3\"
\n" ); document.write( "combine like terms
\n" ); document.write( "d = \"15x%5E3-4x%5E3%2B47x%5E2-10x%5E2%2B58x-10x%2B24-3\"
\n" ); document.write( "d = \"11x%5E3%2B37x%5E2%2B48x%2B21\" sq/units
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