This seems to have worked for me:

 

  • Right-click on Windows key and select Command Prompt (Admin).
  • Type the following commands in Command Prompt window. To execute them, press Enter after each one. 
    SC config wuauserv start= auto
    SC config bits start= auto
    SC config cryptsvc start= auto
    SC config trustedinstaller start= auto

 

Finally, restart your PC and try to install the update that was previously returning the 0x80070bc2 error.