There are many synonyms for the phrase "increase a lead," which is commonly used to describe the act of extending one's advantage over a competitor or opponent. Some of the most common alternatives include "strengthen a lead," "build on a lead," "widen the gap," "pull ahead," "amplify the advantage," and "bolster the advantage." Other possibilities might include "extend the lead," "augment the lead," "pad the lead," or "further the lead." Regardless of which phrase is used, the goal is always the same: to maintain or increase one's superiority over the competition.