SOLUTION: Divide: x^2 � 3x + 2 / 7x � 14 � x^2 � 1 / 7x + 7 Thank You!!! You guys are Great!!

Question 107453: Divide:
x^2 � 3x + 2 / 7x � 14 � x^2 � 1 / 7x + 7

Thank You!!! You guys are Great!!
Found 2 solutions by edjones, jim_thompson5910:
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
((x^2�3x+2)/(7x�14))/((x^2�1)/(7x+7))
((x^2�3x+2)/(7x�14))*((7x+7)/(x^2-1))
((x-2)(x-1)/7(x�2))*(7(x+1)/(x+1)(x-1))=1
Everything cancels.
Ed

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression

Multiply the first fraction by the reciprocal of the second

Factor to get

Factor to get

Factor to get

Factor to get

Cancel out like terms. Notice every term in the numerator has a corresponding term in the denominator. So everything cancels out

So everything simplifies to 1

In other words
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