If someone is branching out it means they are starting to do something new or differently from the way they usually do.
Jane has been working as a journalist since she left university but now she's branching out and writing a novel.
The supermarket has branched out and started selling clothes as well as food.
If someone holds out an olive branch, they are trying to end a disagreement in a friendly and peaceful way.
Bob is always the first to hold out an olive branch after we have an argument.
The yew tree is a medium-sized evergreen. It usually grows to about 10 to 20 metres. This one is in the Access Sculpture Trail at the Yorkshire Sculpture Park, UK.