Please show me where I went wrong with this problem, and what I should correct

7. Decompose into partial fractions: x'+x+1 A + B + C x(x- 1)2 X X - 1 ( x - 1 ) 2 Step 2: Mult. by LCD x (x- 1) 2 ( x 2+* + 1 ) = X ( X-1) 2 A + x (x - 1)2 B + x ( X - 1) z C X ( x - 1)z X ( x - yz X + x+ 1 = A (x-1) 2 + BX (x-1 ) + CX Step 3 : Let x = 1 Let X = O 12+ 1 + 1 = 0+ 0+C(1 ) 02 + 0+ 0 = A ( - 1 ) 2 + 0+ 0 3 = C O = A Let X = 2 Step 4: 2 + 2 + 1 = A ( 2 - 1 ) 2 + B ( 2 ) ( 2 - 1 ) + c ( 2 ) 7 = A+ 2 B + 2 C 7 = 0+ 2 B + 2 ( 3 ) ; 2 B = 1, B= 2