Processing Math: Done

From Förberedande kurs i matematik 1

The denominators x−1 and x2 do not have a common denominator, so the lowest common denominator is x2(x−1). We treat all three terms so that they have a common denominator and then start simplifying

x+1x−1+1x2=xx2(x−1)x2(x−1)+1x−1x2x2+1x2x−1x−1=x2(x−1)x3(x−1)+x2+(x−1)=x2(x−1)x4−x3+x2+x−1.