I've been seeing a lot of misconceptions about both Bitcoin Core and Bitcoin Cash, so I'd like to explain the differences in the most unbiased way I possibly can to help those out who don't quite understand:

Bitcoin Cash was forked from Bitcoin Core because it's developers disagreed with the upcoming addition of Segregated Witness 2x (SegWit2x). There are many concerns regarding SegWit2x, including signatures are separated, transactions are taken off the chain, etc. However, the biggest concern with SegWit is that it has changed Bitcoin's direction. Instead of Bitcoin on the track to becoming an everyday currency, SegWit puts it on a track to become a sort of 'settlement layer'. This means that Bitcoin Core could end up being primarily used to settle net transfers between banks. Many people oppose this, hence the creation of Bitcoin Cash, which tries to stick with the path set by Satoshi's original vision.

However, the bigger picture as to why many feel that a fork is necessary is because of Blockstream's influence over the Bitcoin Core development team, which has lead to mass censorship and a smaller voice of the community. 

Bitcoin Cash does, of course, have plenty of problems as well. The lack of mining support by bigger bitcoin mining companies means that it currently has a vulnerable infrastructure, although this could easily change in the future. What doesn't look like it will change any time soon, however, will be how Bitcoin Cash is more vulnerable to a malleability attack. SegWit removes the malleability of transactions, giving Bitcoin Core an edge. However, at the end of the day, malleability attacks affect a small amount of individuals, and are more of a nuisance than a very serious vulnerability.

I did say that I would be as unbiased as possible, however, you could probably tell from this post that I lean towards Bitcoin Cash a bit more than I do Bitcoin Core.