Question

X/(x-2)*(x+2)*(x-1) into partial fraction

​no matter how many times i redo it my answers just not matching with that of my books. can we have different answers?

Answer 1

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

Explanation:

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

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

3 (x(xx+x)-2x)/(x-2)

4(x^(2)x+xx-2x)/(x-2)

5 (-2 + x + x^2) X)/(-2 + x)

Root

X = 0 , X-2=0

Roots

X=-2

X=1