How do you add \frac { 12y } { y ^ { 2} + 16y + 48} + \frac { 6} { y + 4}?

1 Answer
Feb 2, 2017

(6(y+14))/((y+4)(y+12))

Explanation:

12/(y^2+16y+48)+6/(y+4)
Factorise
12/((y+4)(y+12))+6/(y+4)

So to get a common denominator multiply numerator and denominator of the second term by y+12

=12/((y+4)(y+12))+6/(y+4)*(y+12)/(y+12)

=(12+6(y+12))/((y+4)(y+12))
=(12+6y+72)/((y+4)(y+12))
=(6y+84)/((y+4)(y+12))
=(6(y+14))/((y+4)(y+12))