document.write( "Question 132146: Multiply $\"%285x%2B8%29%284x%5E2%2B3x%2B2%29\"$ \n" ); document.write( "

Algebra.Com's Answer #96524 by jim_thompson5910(35256) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( " $\"%285x%2B8%29%284x%5E2%2B3x%2B2%29\"$ Start with the given expression\r
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\n" ); document.write( "\n" ); document.write( " $\"5x%284x%5E2%2B3x%2B2%29%2B8%284x%5E2%2B3x%2B2%29\"$ Expand the expression. Remember something like $\"%28a%2Bb%29%28c%2Bd%2Be%29\"$ expands to $\"a%28c%2Bd%2Be%29%2Bb%28c%2Bd%2Be%29\"$ \r
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Distribute\r
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\n" ); document.write( "\n" ); document.write( " $\"20x%5E3%2B15x%5E2%2B10x%2B32x%5E2%2B24x%2B16\"$ Multiply\r
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\n" ); document.write( "\n" ); document.write( " $\"47x%5E2%2B20x%5E3%2B34x%2B16\"$ Combine like terms\r
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\n" ); document.write( "\n" ); document.write( " $\"20x%5E3%2B47x%5E2%2B34x%2B16\"$ Now rearrange the terms in descending order\r
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\n" ); document.write( "\n" ); document.write( "So $\"%285x%2B8%29%284x%5E2%2B3x%2B2%29\"$ expands and simplifies to $\"20x%5E3%2B47x%5E2%2B34x%2B16\"$ .\r
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\n" ); document.write( "\n" ); document.write( "In other words, $\"%285x%2B8%29%284x%5E2%2B3x%2B2%29=20x%5E3%2B47x%5E2%2B34x%2B16\"$ \r
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\n" ); document.write( "\n" ); document.write( "If you need more help with multiplying polynomials, check out this Long Multiplication Calculator\r
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