document.write( "Question 1198618: y=(x+5)(x²+3x+4) \n" ); document.write( "
Algebra.Com's Answer #832241 by math_tutor2020(3817)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "I assume you want to expand that out. In the future, please post the verbal instructions.\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%28x%2B5%29%28x%5E2%2B3x%2B4%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+w%28x%5E2%2B3x%2B4%29\" Let w = x+5\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+wx%5E2%2B3wx%2B4w\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+x%5E2%28w%29%2B3x%28w%29%2B4%28w%29\" \r
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\n" ); document.write( "\n" ); document.write( "\"y+=+x%5E2%28x%2B5%29%2B3x%28x%2B5%29%2B4%28x%2B5%29\" Plug in w = x+5 \r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%28x%5E3%2B5x%5E2%29%2B%283x%5E2%2B15x%29%2B%284x%2B20%29\" Distribute three times more\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+x%5E3%2B8x%5E2%2B19x%2B20\" Combine like terms\r
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\n" ); document.write( "\n" ); document.write( "Therefore,
\n" ); document.write( "\"%28x%2B5%29%28x%5E2%2B3x%2B4%29+=+x%5E3%2B8x%5E2%2B19x%2B20\"
\n" ); document.write( "is an identity, i.e. it is a true equation for all real numbers x.
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