Simplify to partial fractions

Question

x^(2)/(x^2-2x-1)

Answer 1

Divide if improper : If N(x)/D(x) is an improper fraction (that is, if the degree of the numerator is greater than or equal to the degree of the denominator), divide the denominator into the numerator to obtain :

.

The expression is .

Since, degree of the numerator is equal to degree of the denominator(i.e, 2), divide the denominator into the numerator.

.

Therefore, the partial fractions of the expression .