Extremely early days it may be but it appears that life after Brendan Rodgers is not going to be terrible for Swansea after all. Quite the opposite, if this first game of the Michael Laudrup era is anything to go by: a resounding victory secured on the back of a stylish display and one in which the club's new signings all impressed. A dream start for the man who was part of Barcelona's "Dream Team".

Laudrup is not the type to get carried away but even he is sure to feel a surge of optimism following this win – Swansea's first on the opening day of a season in seven attempts. Of particular delight for the Dane will be the contribution of Michu, the elegant Spanish midfielder who scored two of Swansea's goals, the second a sublime first-time curling shot from the edge of the area.

The 26-year-old was signed for £2m from Rayo Vallecano in the summer having scored 15 goals in La Liga last season, the most by any midfielder in Spain's top flight, prompting observers to wonder if he would go on to be the Premier League's bargain acquisition of the season. So far, so very good.

There were also impressive displays from fellow summer signings Chico Flores and Jonathan de Guzmán.

All contributed to a composed team performance that suggests Swansea will continue to put an emphasis on possession but have added a ruthless streak that could mean they match or even better last season's 11th-place finish. "Winning on my debut, away from home, 5-0, nobody could have dreamed of that," Laudrup said. "I'm very happy for the players. It is very important to know you can win away games, it gives you a lot of confidence for the rest of the season.

"He [Michu] did great. When you take players from abroad you look at the quality but it is also important to look at the personality and making sure they can fit into this way of playing and culture. These [new] players have all played for small clubs – Chico and Jonathan for Mallorca, Michu for Rayo, but they all have the personality to do well."

Laudrup also rightly praised the contributions of the two wide men he deployed, Wayne Routledge, who played a part in Swansea's opening three goals, and Nathan Dyer, who also scored twice. Substitute Scott Sinclair sealed the rout in the 81st minute.

For Queens Park Rangers there was little to cheer about. Having succeeded in defying relegation last season and gone on to sign eight players during the summer, five of whom started here, expectations were high. But, for a second ​season running, they have suffered a home mauling on the first day.

No one will be feeling worse than Rob Green, who on his debut following a free transfer from West Ham was at fault for the opening goal, allowing Michu's curling shot following Routledge's driving run to squirm past his grasp after eight minutes. The comparisons with what happened to the goalkeeper during the last World Cup was obvious, although the mistake that meant Clint Dempsey scored in England's opening game of the tournament against the United States was arguably more horrendous.

QPR, to their credit, drove on and created enough chances before half-time to have taken the lead, most notably from another of Mark Hughes's summer signings, Junior Hoilett, who saw a curling shot and a header go just wide.

The hosts, captained by another new recruit, Park Ji-sung, continued to dominate possession but Swansea remained composed and could have extended their lead prior to the interval when Flores and Michu both struck the bar from close range.

Michu, who was a strong, skilful presence behind Swansea's lone striker, Danny Graham, was not to be denied and scored again on 53 minutes, in style, following another Routledge run. Dyer got his first 10 minutes later after Clint Hill had failed to clear Routledge's through pass and struck again on 71 minutes from close range.

QPR were shell-shocked, with their linkup play becoming increasingly ragged and it was little surprise when Sinclair made it 5-0, the winger having come on to the sound of boos from the away supporters for expressing a desire to leave Swansea.

Those same fans were cheering again soon after, though, having heard that Liverpool, the club Rodgers departed from Swansea to join, had lost 3-0 to West Bromwich Albion.

For QPR there is now a need to reflect before Saturday's visit to Norwich. "We've got to pick ourselves up," Hughes said. "We're now under no false pretences about how difficult this league is. But we have a talented group and I'm sure they can learn from today."