can someone do these step by step please..im new at calculus and dont have my textbook with me

so far i have (A = delta)

root(x+Ax) - rootx / (x+Ax) - x and ive tried many different methods but i mess up

and 1/x+Ax - 1/x / (x+Ax) -x

i tried doing it but i keep getting stuck..and please dont use laws or anything..just algebra cause i just started

thanks