document.write( "Question 357964: Hi guys,
\n" ); document.write( "Struggeling with the following partial fractions:
\n" ); document.write( "1/(x+1)(x^2-1)\r
\n" ); document.write( "\n" ); document.write( "1/x^3+2x\r
\n" ); document.write( "\n" ); document.write( "Any Help To Show Me Steps Of How To Complete The Equations Would Be Much Help,
\n" ); document.write( "Thank you \n" ); document.write( "

Algebra.Com's Answer #255530 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"1%2F%28%28x%2B1%29%28x%5E2-1%29%29=1%2F%28%28x%2B1%29%28x-1%29%28x%2B1%29%29\"$
\n" ); document.write( " $\"1%2F%28%28x%2B1%29%28x%5E2-1%29%29=1%2F%28%28x%2B1%29%5E2%28x-1%29%29\"$
\n" ); document.write( " $\"1%2F%28%28x%2B1%29%28x%5E2-1%29%29=A%2F%28x%2B1%29%2BB%2F%28x%2B1%29%5E2%2BC%2F%28x-1%29\"$
\n" ); document.write( "Multiply by the denominator,
\n" ); document.write( " $\"1=A%28x%2B1%29%28x-1%29%2BB%28x-1%29%2BC%28x%2B1%29%5E2\"$
\n" ); document.write( " $\"A%28x%5E2-1%29%2BB%28x-1%29%2BC%28x%5E2%2B2x%2B1%29=1\"$
\n" ); document.write( "1. $\"Ax%5E2%2BCx%5E2=0\"$
\n" ); document.write( "2. $\"Bx%2B2Cx=0\"$
\n" ); document.write( "3. $\"-A-B%2BC=1\"$
\n" ); document.write( "From eq. 1,
\n" ); document.write( " $\"A=-C\"$
\n" ); document.write( "From eq. 2,
\n" ); document.write( " $\"B=-2C\"$
\n" ); document.write( "Then substituting into eq. 3,
\n" ); document.write( " $\"C%2B2C%2BC=1\"$
\n" ); document.write( " $\"4C=1\"$
\n" ); document.write( " $\"highlight%28C=1%2F4%29\"$
\n" ); document.write( "Now back substitute and find A and B.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"1%2F%28x%5E3%2B2x%29=1%2F%28x%28x%5E2%2B2%29%29\"$
\n" ); document.write( " $\"1%2F%28x%5E3%2B2x%29=A%2Fx%2B%28Bx%29%2F%28x%5E2%2B2%29\"$
\n" ); document.write( "Multiply by the denominator,
\n" ); document.write( " $\"1=A%28x%5E2%2B2%29%2BBx%5E2\"$
\n" ); document.write( "1. $\"Ax%5E2%2BBx%5E2=0\"$
\n" ); document.write( "2. $\"2A=1\"$
\n" ); document.write( "From eq. 2,
\n" ); document.write( " $\"highlight%28A=1%2F2%29\"$
\n" ); document.write( "Then from eq. 1,
\n" ); document.write( " $\"B=A\"$
\n" ); document.write( " $\"highlight%28B=-1%2F2%29\"$
\n" ); document.write( ".
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\n" ); document.write( ".
\n" ); document.write( " $\"highlight_green%281%2F%28x%5E3%2B2x%29=1%2F%282x%29-%28x%29%2F%282%28x%5E2%2B2%29%29%29\"$ \n" ); document.write( "

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