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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

Dingoes can be kept as pets if they are taken from a litter no older than six weeks of age and then aggressively trained.
Pets or Predators? 10 Things About Australia’s Famous Dog, the Dingo Meredith Kaufman June 12, 2012

But think more deeply: Congress could make all kinds of laws that aggressively establish an ideology that is not a religion.
Gay Marriage Vs. the First Amendment James Poulos August 21, 2014

After 9/11, Bush was more Cheney than Condi: aggressively unilateral, dismissive of diplomacy, eager to use force.
What If Cheney’s Right? Reihan Salam May 21, 2009

Back in 1992, Disney aggressively pushed Newsies, and yet few kids ever made it to the picture.
The Cult of ‘Newsies’ Ramin Setoodeh October 17, 2011

But in 2000, Bush made that impossible by aggressively distancing himself from the Republican Congress.
Good News for Republicans Peter Beinart January 3, 2013

Historical Examples

They sang two verses with round mouths, Jerry and Stanley shouting against each other aggressively and wagging their heads.
Boy Woodburn Alfred Ollivant

“I don’t see any easier way to get half a million,” he said aggressively.
Within the Law Marvin Dana

There was no injunction for fighting absolutely or aggressively in the Koran.
A Critical Exposition of the Popular ‘Jihd’ Moulavi Gergh Ali

“You ought to give it to him as a keepsake,” said young Howard, aggressively.
In a Steamer Chair and Other Stories Robert Barr

For the rest he was a cheerful, likable fellow, aggressively honest and painfully conscientious.
On Your Mark! Ralph Henry Barbour

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.