Chris Woakes, Jake Ball and Adil Rashid each grabbed two wickets as England restricted Bangladesh to a modest 238-8 in the second ODI in Dhaka on Sunday.
England, who chose to bowl first in a bid to wrap up the three-match series after winning Friday's first game by 21 runs, made regular breakthroughs after Woakes struck twice in his opening spell.
Mahmudullah top-scored with 75 while skipper Mashrafe Mortaza provided some late impetus with 44 off 29 balls, helping his side cross the 200-run mark.
Bangladesh were in trouble once Woakes, who finished with 2-40, removed openers Imrul Kayes (11) and Tamim Iqbal (14) in his successive overs to leave the hosts on 26-2.
Ball, man of the match last Friday with five wickets on debut, kept up the pressure when he bowled Sabbir Rahman for three. Mahmudullah and Mushfiqur Rahim put on 50 for the fourth wicket to steady the innings before Ball struck again.
Rahim, who made 21, top-edged the paceman to fine leg where Moeen Ali took a superb catch. Bangladesh's woes worsened when star all-rounder Shakib Al Hasan departed for three after gloving a delivery from Ben Stokes down the leg side to wicketkeeper Jos Buttler.
Mahmudullah and Mosaddek Hossain lifted their side from a precarious 113-5 with a 48-run sixth-wicket stand before leg-spinner Rashid struck.
Rashid trapped Mahmudullah leg-before to end a fine innings, which came off 88 balls with six fours. Rashid then had Mosaddek (29) caught by Ali in his next over to derail Bangladesh's innings again.
Mortaza came to the rescue with his quick-fire 44 which included two fours and three sixes.
Nasir Hossain, brought in to replace left-arm spinner Mosharraf Hossain in Bangladesh's only change from the opening match, gave Mortaza good support with 27 not out. Ball claimed 2-44 while Rashid finished with 2-53.
The third and final ODI will be played in Chittagong on Wednesday.
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