3x/(x^2-7x+10) = A/(x-2)+B/(x-5)
3x/(x^2-7x+10) = [A*(x-5)+B*(x-2)]/(x^2-7x+10)
3x = (A+B)x-5A-2B
A+B =3 ,-5A-2B = 0
A = -2 ,B = 5 .
3x/(x^2-7x+10) = A/(x-2)+B/(x-5)
3x/(x^2-7x+10) = [A*(x-5)+B*(x-2)]/(x^2-7x+10)
3x = (A+B)x-5A-2B
A+B =3 ,-5A-2B = 0
A = -2 ,B = 5 .