The correct option is B 1
We know that, (x+a)(x+b)=x2+(5)x+(6)
By splitting the middle term, x2+(5)x+(6) such that, the product is equal to 6 and sum or difference is equal to +5.
Hence, x2+5x+6=x2+3x+2x+6
Taking out the common factor,⇒x(x+3)+2(x+3)⇒(x+3)(x+2)
Comparing to (x+a)(x+b) and also given that (a−b)>0.
Hence a=3 and b=2
∴a−b=1