WASHINGTON — Fighting for his political life, President Barack Obama re-emerged in blistering form in an interruption-filled debate rematch, trying to diminish Mitt Romney’s rising stature by accusing him of dishonesty and extremism.

In a confrontational showdown, Romney did well against his suddenly higher expectations and an incumbent who decided to show up with passion this time. Portraying himself as a plausible alternative for struggling Americans, Romney declared: “We don’t have to live like this.”

WASHINGTON — Declaring the American dream under siege, President Barack Obama delivered a populist challenge Tuesday night to shrink the gap between rich and poor, promising to tax the wealthy more and help jobless Americans get work and hang onto their homes. Seeking re-election and needing results, the president invited Republicans to join him but warned, “I intend to fight.”

WASHINGTON — A combative President Barack Obama challenged a divided Congress on Thursday to unite behind his jobs bill or get ready to be run “out of town” by angry voters. Hoping to use public frustration and economic worry as leverage, he called his proposal an insurance plan against a painful return to recession.

In a news conference long on restatements of his ideas, Obama laid bare the dynamic that now is Washington: The era of compromise is over.