How to reduce to lowest terms?

2/x^2-4x+4  +  1/x  -  1/x-2
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1 Answer

Best answer

x²-4x+4=(x-2)² so the expression is:

2/(x-2)²+1/x-1/(x-2)=(2x+(x-2)²-x(x-2)/(x(x-2)²)=

(2x+(x-2)(x-2-x))/(x(x-2)²)=(2x-2(x-2))/(x(x-2)²)=

(2x-2x+4)/(x(x-2)²)=4/(x(x-2)²).

by Top Rated User (1.1m points)

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