document.write( "Question 630792: can you help me please by subtracting this rational expression \r
\n" ); document.write( "\n" ); document.write( "(x)/(x^2 - 5x + 6)- (3)/(3-x) \n" ); document.write( "

Algebra.Com's Answer #397188 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
can you help me please by subtracting this rational expression
\n" ); document.write( " $\"%28x%29%2F%28x%5E2+-+5x+%2B+6%29\"$ - $\"%283%29%2F%283-x%29\"$
\n" ); document.write( ";
\n" ); document.write( "Factor the 1st denominator
\n" ); document.write( " $\"%28x%29%2F%28%28x-2%29%28x-3%29%29\"$ - $\"%283%29%2F%283-x%29\"$
\n" ); document.write( ";
\n" ); document.write( "Convert the 2nd denominator, factor out -1
\n" ); document.write( " $\"%28x%29%2F%28%28x-2%29%28x-3%29%29\"$ - $\"%283%29%2F%28-1%28x-3%29%29\"$
\n" ); document.write( ":
\n" ); document.write( "the minus one changes the sign
\n" ); document.write( " $\"%28x%29%2F%28%28x-2%29%28x-3%29%29\"$ + $\"%283%29%2F%28%28x-3%29%29\"$
\n" ); document.write( ";
\n" ); document.write( "The common denominator is (x-2)(x-3)
\n" ); document.write( " $\"%28x+%2B+3%28x-2%29%29%2F%28%28x-2%29%28x-3%29%29\"$ = $\"%28x%2B3x-6%29%2F%28%28x-2%29%28x-3%29%29\"$ = $\"%284x-6%29%2F%28%28x-2%29%28x-3%29%29\"$
\n" ); document.write( "Or you can Factor out 2
\n" ); document.write( " $\"%282%282x-3%29%29%2F%28%28x-2%29%28x-3%29%29\"$
\n" ); document.write( ":
\n" ); document.write( "Did all this make sense to you?\r
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