Answer:
The answer to your question would be that "after you install the security software, your computer will run smoothly" is a complex sentence.
Step-by-step explanation:
A complex sentence has at least one dependent clause (a) and one independent clause (b). The difference between a dependent and independent clause is that the latter can stand alone as a sentence as it represents a complete thought.
a) *After you install the security software,
b) your computer will run smoothly.