SOLUTION: Simplify: (1+(1/(x+3)) (1+(1/(x+2)) (1+(1/(x+1))

Question 1056390: Simplify:
(1+(1/(x+3)) (1+(1/(x+2)) (1+(1/(x+1))
Found 2 solutions by Boreal, MathTherapy:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
(1+(1/(x+3)) (1+(1/(x+2)) (1+(1/(x+1))
rewrite as
(x+4)/(x+3)*(x+3)/(x+2)*((x+2)/(x+1); we can do that, because the first is (x+3)/(x+3)+ (1/(x+3))
Everything cancels except (x+4)/(x+1), which is the answer.
Answer by MathTherapy(10556) (Show Source): You can put this solution on YOUR website!
Simplify:
(1+(1/(x+3)) (1+(1/(x+2)) (1+(1/(x+1))

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