AddSubtract and simplify 5y 3 1y 12y 2 3y 3Solutiontak

Add/Subtract and simplify. 5/y + 3 - 1/y - 1/2/y + 2 + 3/y + 3

Solution

taking lcm of numerator,denominator and then cross multiply

{ 5(y-1)-(y+3)}/(y+3)(y-1)/{2(y+3)+3(y+2)}/(y+2)(y+3)

(4y-8).(y+2)(y+3)/(y+3)(y-1)(5y+12)

y+3 canceals out

4(y-2)(y+2)/(y-1)(5y+12)