I have been trying to solve these two problems for hours

Question

find difference quotient f(a+h)-f(a)/ h....

Question 1)

f(a) = a/a+3

f(a+h)= a+h/a+h+3

f(a+h)-f(a)/h=????

Question 2)

(a) = 8a^2+5

f(a+h)= 8(a+h)^2+5

f(a+h)-f(a)/h=????

Answer 1

Question 2)

(a) = 8a²+5

f(a+h)= 8(a+h)²+5 FOIL

=8(a²+2ah+h²)+5 Distribute

8a²+16ah+8h²+5

f(a+h)-f(a)

8a²+16ah+8h²+5-(8a²+5) Distribute

8a²+16ah+8h²+5-8a^2-5 Simplify

16ah+8h²

[f(a+h)-f(a)]/h

(16ah+8h²)/h Factor out an h

h(16a+8h)/h Cancel out and h

16a+8h