document.write( "Question 112005: (2r-3s)(4r^2+6rs+9s^2) \n" ); document.write( "
Algebra.Com's Answer #81690 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\"%282r-3s%29%284r%5E2%2B6rs%2B9s%5E2%29\" Start with the given expression\r
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\n" ); document.write( "\n" ); document.write( "\"2r%284r%5E2%2B6rs%2B9s%5E2%29-3s%284r%5E2%2B6rs%2B9s%5E2%29\" Expand the expression. Remember for something like \"%28a%2Bb%29%28c%2Bd%2Be%29\" it expands to \"a%28c%2Bd%2Be%29%2Bb%28c%2Bd%2Be%29\"\r
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\n" ); document.write( "\n" ); document.write( " Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"8r%5E3%2B12rs%2B18rs%5E2-12sr%5E2-18s%5E2r-27s%5E3\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"8r%5E3%2B12rs-12r%5E2s-27s%5E3\" Combine like terms\r
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\n" ); document.write( "\n" ); document.write( "\"8r%5E3-12r%5E2s%2B12rs-27s%5E3\" Sort the terms\r
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\n" ); document.write( "\n" ); document.write( "So \"%282r-3s%29%284r%5E2%2B6rs%2B9s%5E2%29\" expands and simplifies to \"8r%5E3-12r%5E2s%2B12rs-27s%5E3\".\r
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\n" ); document.write( "\n" ); document.write( "In other words, \"%282r-3s%29%284r%5E2%2B6rs%2B9s%5E2%29=8r%5E3-12r%5E2s%2B12rs-27s%5E3\"\r
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