Hi,
I would like to know if is there a way to connect faces together like those pictures.
I would like to make something like this.
Maybe there’s a tool that can do that in 1 click i don’t know but meanwhile for the 1st case you can just go to edge selection mode and select all the edges :

Then W -> Subdivide

For the 2nd case, at the corner, just select the 2 vertices and press J to add an edge like that :

Then select the edges

W-> Subdivide

Then dissolve the edge you don’t want

As an alternative to W -> Subdivide you can use K to cut while holding CTRL , so the knife snap to the center of each edges
Ok thank you 