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characterized by or tending toward unprovoked offensives, attacks, invasions, or the like; militantly forward or menacing:
aggressive acts against a neighboring country.
making an all-out effort to win or succeed; competitive:
an aggressive basketball player.
vigorously energetic, especially in the use of initiative and forcefulness:
an aggressive salesperson.
boldly assertive and forward; pushy:
an aggressive driver.
emphasizing maximum growth and capital gains over quality, security, and income:
an aggressive mutual fund.
Medicine/Medical.

(of a disease or tumor) spreading rapidly or highly invasive; difficult or impossible to treat successfully.
pertaining to a risky surgery or treatment, or to a medication that has grave side effects:
aggressive chemotherapy.

Contemporary Examples

It was aggressive, it was unapologetic, it was necessary, and it was effective.
Martha Plimpton on Women’s Rights, Sandra Fluke, and Organization A is For Martha Plimpton November 4, 2012

He steered clear of anything that might be interpreted as an aggressive call to action.
President Obama Slams A Passive Mitt Romney as ‘Reckless’ on Foreign Policy Howard Kurtz October 22, 2012

The opposition alliance, Mesa de la Unidad, has put forward an aggressive plan to defend the votes.
Could Hugo Chávez Really Lose Venezuela’s Election? Boris Muñoz October 5, 2012

“The FCC mandated the most aggressive build-out in the history of telecommunications,” Falcone said.
White House’s Testimony ‘Guidance’ Eli Lake September 19, 2011

And I made my movies for men—animalistic scenes, aggressive guys and cute girls, and little plot.
Porn Isn’t Just for Men! Why Women Love Watching Aurora Snow February 10, 2013

Historical Examples

The voice in which he made this threat was gruff and aggressive.
The Pace That Kills Edgar Saltus

But it never seems to enter into the goat’s head to do anything so aggressive.
Things as They Are Amy Wilson-Carmichael

It was a fat, good-natured voice, but even in that one word the cockney accent was aggressive and unmistakable.
The Bishop’s Apron W. Somerset Maugham

They were not aggressive creatures; it was that that made them so terrible to Helen.
Howards End E. M. Forster

At all events, the protagonists were somewhat loth to utilise the dirigible upon an elaborate scale or in an aggressive manner.
Aeroplanes and Dirigibles of War Frederick A. Talbot

adjective
quarrelsome or belligerent: an aggressive remark
assertive; vigorous: an aggressive business executive
adj.

1791, from Latin aggress-, past participle stem of aggredi (see aggression) + -ive. In psychological use from 1913, first in translations of Freud. Related: Aggressively; aggressiveness.

aggressive ag·gres·sive (ə-grěs’ĭv)
adj.

Inclined to behave in a hostile fashion.

Tending to spread quickly, as a tumor; fast-growing.