The first one calls it with no arguments. The second one calls it with arguments of the current function.
this.subject = {
  hello: function() {
    console.log("Hello called with arguments " + JSON.stringify(arguments));
  }
};
function callHello() {
  console.log("this.subject.hello();");
  this.subject.hello();
  console.log("this.subject.hello.apply(this.subject, arguments);");
  this.subject.hello.apply(this.subject, arguments);
}
callHello(1, 2);
// => this.subject.hello();
//    Hello called with arguments {}
//    this.subject.hello.apply(this.subject, arguments);
//    Hello called with arguments {"0":1,"1":2}