You can easily delete your update posts by following one of the below steps:
1. Go to that update post from your home page and hover your mouse on that post. Click on cross (x) icon in the top right corner of the post, and click on “Delete” button in the popup.
OR
2. Go to that update post from your profile and hover your mouse on that post. Click on the icon in the top right corner of the post, and choose the “Delete Post” option. Click on “Delete” button in the popup.