Question

Can someone check my answer for me
*problem below*

Answer 1

\[\frac{ 4 }{ w+5 }+\frac{ w+6 }{ w ^{2}-25 }+\frac{ 4 }{ w-5}\]

Answer 2

i came out with 3(3w+2)/w^2-25

Answer 3

problem asks to Add and reduce to lowest terms if possible

Answer 4

the common denominator is w^2-25 ( that is (w-5)(w+5) )
top is 4(w-5)+ w+6 +4(w+5)

4w-20 +w +6 +4w +20
9w+6
or 3(3w+2)

the top won't cancel anything in the bottom
so your answer looks good.

Answer 5

alright thank you.