document.write( "Question 276711: use binomial theorem to expand the following up to 4 terms:\r
\n" ); document.write( "\n" ); document.write( " $\"1%2Fsqrt%28%284-3x%5E2%29%29%5E3\"$ \n" ); document.write( "

Algebra.Com's Answer #201736 by AnlytcPhil(1807) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"1%2Fsqrt%28%284-3x%5E2%29%29%5E3\"$
\n" ); document.write( "

\r\n" );
document.write( "Express the denominator as the  power\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then as a negative exponent:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "We want to get a binomial that starts with 1, not 4.\r\n" );
document.write( "\r\n" );
document.write( "Factor out 4 in the parentheses:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " simplifies to \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So we have\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So we now expand \r\n" );
document.write( "\r\n" );
document.write( " and then multiply it by \r\n" );
document.write( "\r\n" );
document.write( "We use the infinite binomial series:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Substituting ,   becomes \r\n" );
document.write( "\r\n" );
document.write( "Substituting ,  becomes \r\n" );
document.write( "\r\n" );
document.write( "Therefore  becomes  or \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Substituting ,  becomes \r\n" );
document.write( "\r\n" );
document.write( "Substituting ,  becomes \r\n" );
document.write( "\r\n" );
document.write( "Therefore  becomes  or\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So the expansion to 4 terms of \r\n" );
document.write( "\r\n" );
document.write( "is\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So we multiply that by  and that will be the binomial\r\n" );
document.write( "series to 4 terms.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( " \n" ); document.write( "

\n" );