If you’re at all interested. The reason the USA bleach whites and Europe in the main doesn’t, is all down to the washing machines.
For a long time through history (although rapidly changing now) the washers in the US are the great big top loaders with the agitator in the middle. These don’t have heaters in them like the U.K. front loaders do, so the water only gets as hot as what comes from the boiler (which in the US the heaters don’t heat the water as hot as U.K.) So in order to sanitise and whiten, you had to use Bleach. Even though the washers are now changing to like what is over here, it’s a really hard habit to break, even though as stated by PP, bleach may rot the rubber seal around the door (toploaders don’t have these)
We don’t have chlorine bleach sold as “laundry” bleach over here, however, you’ll be glad to know there is an identical product sold over here - THIN bleach (the one in the white bottle with red lid usually, costs about 30p). Half a cup to a cup (125-200ml) and you’re good to go.
However, chlorine kills the enzymes that is in detergent, so what you’d normally do is allow 5 or so mins for the wash without bleach to allow the enzymes to work to break down stains, then chuck the bleach in (easy with TL you just open the lid). But with a front loader, best option is to set your cycle with a prewash, put the detergent in the prewash bit of drawer so the detergent works in the prewash cycle, then when the main cycle kicks in, pour the bleach in the drawer as the machine is taking in water.
Final note, POWDER (not liquid/gel etc) and things like vanish, contains a non chlorine bleach (known as oxygen bleach), these 2 cancel each other out. So if you’re going to use chlorine bleach, you’ll be best using a liquid detergent and no vanish type products.
Jeez that was long, sorry if bored you to death, just hope I explained how to best use bleach in a washer if you’re going to.