Apr 17, 2014
9:48:50pm
9:48:50pm
Simplest approach
Use the product of the two denominators as a new common denominator:
2x/(x^2+1) - 1/x^2
2x(x^2)/x^2(x^2+1) - (x^2+1)/x^2(x^2+1) = [2x(x^2) - (x^2+1)]/x^2(x^2+1) = (2x^3-x^2-1)/x^2(x^2+1)
2x/(x^2+1) - 1/x^2
2x(x^2)/x^2(x^2+1) - (x^2+1)/x^2(x^2+1) = [2x(x^2) - (x^2+1)]/x^2(x^2+1) = (2x^3-x^2-1)/x^2(x^2+1)
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