The correct option is B 6
2x+1(x−1)(x2+1)=A(x2+1)+(Bx+C)(x−1)(x−1)(x2+1)
So, equating the order's of the power of x we get
A+B=O−−(1)forx2 co-efficient.
A−C=1−−(2)for1 co-efficient
−B+C=2−−(3)forx co-efficient
A−B=3− from (2) and (3)
So,
A=(1.5);B=−(1.5)
and c=0.5
So, A−BC=6
A−BC=6