document.write( "Question 1117568: find the term independent of x in the expansion of {2x^3 - 1/4(x^5)}^8 \n" ); document.write( "
Algebra.Com's Answer #732696 by greenestamps(13198)\"\" \"About 
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\n" ); document.write( "To get a term independent of x, you need to take the \"2x^3\" term from 5 of the factors and the \"1/(4x^5)\" term from the other 3 factors. So the term is

\n" ); document.write( "\"C%288%2C5%29%2A%282x%5E3%29%5E5%2A%281%2F%284x%5E5%29%29%5E3\"
\n" ); document.write( "\"%2856%29%2A%2832x%5E15%29%2A%281%2F%2864x%5E15%29%29\"
\n" ); document.write( "\"56%2A32%2F64\"
\n" ); document.write( "\"28\"

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\n" ); document.write( "tutor ikleyn has pointed out that I lost track of a sign in the above response....

\n" ); document.write( "The \"1/4x^5\" term in the binomial is negative, so the constant term is

\n" ); document.write( "\"C%288%2C5%29%2A%282x%5E3%29%5E5%2A%28-1%2F%284x%5E5%29%29%5E3\"
\n" ); document.write( "\"%2856%29%2A%2832x%5E15%29%2A%28-1%2F%2864x%5E15%29%29\"
\n" ); document.write( "\"-56%2A32%2F64\"
\n" ); document.write( "\"-28\"

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