
\n" );
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document.write( "Express the denominator as the
power\r\n" );
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document.write( "
\r\n" );
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document.write( "Then as a negative exponent:\r\n" );
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document.write( "
\r\n" );
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document.write( "We want to get a binomial that starts with 1, not 4.\r\n" );
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document.write( "Factor out 4 in the parentheses:\r\n" );
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document.write( "
\r\n" );
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document.write( "
\r\n" );
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document.write( "
simplifies to
\r\n" );
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document.write( "\r\n" );
document.write( "So we have\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
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document.write( "So we now expand \r\n" );
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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" );
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document.write( "So the expansion to 4 terms of
\r\n" );
document.write( "\r\n" );
document.write( "is\r\n" );
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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( "