This puzzle occurs after you take out the Brood Mother. First thing you want to do is grab the Bomb Bug on the lower ground and take it to the other Bug through the Tunnel.
Upon doing so the other Bug that was/is eating should be red (meaning it is ready to explode). Quickly grab this Bug and throw it at the Red (Fire) Web, this will destroy that so you can now move on.
Your next task is to then grab the other Bug which should now be ready to blow up too, take this one and throw it at the White Web that is a bit further on.
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