document.write( "Question 1019520: (6/n^2) - (1/n) = -(1/3n)
\n" ); document.write( "I know the LCM is 3n^2 but I'm still confused. Thanks \n" ); document.write( "

Algebra.Com's Answer #635458 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+%286%2Fn%5E2%29+-+%281%2Fn%29+=+-%28+1%2F%283n%29+%29+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( "Just multiply both sides by $\"+3n%5E2+\"$
\n" ); document.write( "I'll do it step by step:
\n" ); document.write( " $\"+3n%5E2%2A%28+6%2Fn%5E2+%29+-+3n%5E2%2A%28+1%2Fn+%29+=+3n%5E2%2A%28+-1%2F%283n%29+%29+\"$
\n" ); document.write( "------------------------------------------
\n" ); document.write( "I'll rearrange
\n" ); document.write( " $\"+%28+n%5E2%2Fn%5E2+%29%2A18+-+%28+n%5E2%2Fn+%29%2A3+=+%28+n%5E2%2Fn+%29%2A%28-1%29+\"$
\n" ); document.write( " $\"+18+-+3n+=+%28-1%29%2An+\"$
\n" ); document.write( " $\"+18+-+3n+%2B+n+=+0+\"$
\n" ); document.write( " $\"+18+-+2n+=+0+\"$
\n" ); document.write( " $\"+2n+=+18+\"$
\n" ); document.write( " $\"+n+=+9+\"$
\n" ); document.write( "Check:
\n" ); document.write( " $\"+%286%2Fn%5E2%29+-+%281%2Fn%29+=+-%28+1%2F%283n%29+%29+\"$
\n" ); document.write( " $\"+%286%2F9%5E2%29+-+%281%2F9%29+=+-%28+1%2F%283%2A9%29+%29+\"$
\n" ); document.write( " $\"+6%2F81+-+9%2F81++=+-1%2F27+\"$
\n" ); document.write( " $\"+6%2F81+-+9%2F81+=+-3%2F81+\"$
\n" ); document.write( " $\"+-3%2F81+=+-3%2F81+\"$
\n" ); document.write( "OK \n" ); document.write( "

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