SOLUTION: 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 answ

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.
Found 2 solutions by stanbon, scott8148:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
reduce this? (x-2)/(x^2-6x+8)
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If you simplify 6/24 you have to know that 6 is a factor of 24
so you can write the problem as follows:
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6/24 = 6/(6*4)
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you can write that as
6/24 = (6/6)*(1/4)
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You have to know that 6/6 = 1
So you have 6/24 = 1*(1/4) = 1/4
That is called the "simplified form of 6/24
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Your Problem:
Simplify (x-2)/(x^2-6x+8)
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You have to know the factors of x^2-6x+8 = (x-4)(x-2)
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Then (x-2)/(x^2-6x+8) can be written as [(x-2)/(x-2)]*(1/(x-4))
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But (x-2)/(x-2) is 1
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So the simplified form of your problem is 1/(x-4)
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Cheers,
Stan H.
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Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
factoring ___ (x-2) / [(x-2)(x-4)]

canceling the x-2 gives the answer
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