[College Algebra/Engineering] - Can someone tell me if this solution is correct? I don't believe it...

So I am just a little baffled at this simplification of adding "messy" fractions. I am refering to:

(1/R2) + (1/(R1 + (1/SC))

I keep obtaining:

SCR1+1+ R2SC / ((R2)(SCR1+1))

However, the solution on Chegg (which can be wrong a lot) says it is:

    (SCR1+1+ R2)/ ((R2)(SCR1+1))

I got my answer by multiplying common denominators out. I multiplied :

(1)/(R1+ (1/SC)

by SC/SC, which leaves me with an SC on top and SCR1 + 1 on the bottom

Am I right? Or is Chegg wrong? Can anyone point out what mistake I have made? Thanks!

https://imgur.com/a/vleWe