document.write( "Question 457847: How do I reduced this? (x-2)/(x^2-6x+8) Ive seen countles of exercises and videos explaining how to solve it but then I ask myself what happened to 6x and 8? Dont know why the answer is 1/x-4. \n" ); document.write( "

Algebra.Com's Answer #314057 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
reduce this? (x-2)/(x^2-6x+8)
\n" ); document.write( "----
\n" ); document.write( "If you simplify 6/24 you have to know that 6 is a factor of 24
\n" ); document.write( "so you can write the problem as follows:
\n" ); document.write( "------
\n" ); document.write( "6/24 = 6/(6*4)
\n" ); document.write( "---
\n" ); document.write( "you can write that as
\n" ); document.write( "6/24 = (6/6)*(1/4)
\n" ); document.write( "----
\n" ); document.write( "You have to know that 6/6 = 1
\n" ); document.write( "So you have 6/24 = 1*(1/4) = 1/4
\n" ); document.write( "That is called the \"simplified form of 6/24
\n" ); document.write( "======================
\n" ); document.write( "Your Problem:
\n" ); document.write( "Simplify (x-2)/(x^2-6x+8)
\n" ); document.write( "----
\n" ); document.write( "You have to know the factors of x^2-6x+8 = (x-4)(x-2)
\n" ); document.write( "---
\n" ); document.write( "Then (x-2)/(x^2-6x+8) can be written as [(x-2)/(x-2)]*(1/(x-4))
\n" ); document.write( "---
\n" ); document.write( "But (x-2)/(x-2) is 1
\n" ); document.write( "--
\n" ); document.write( "So the simplified form of your problem is 1/(x-4)
\n" ); document.write( "====================================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "=============== \n" ); document.write( "

\n" );