I got this Error in laraval 5.2 while doing sign up page , FatalErrorException in AuthController.php.(T_CONSTANT_ENCAPSED_STRING), expecting ')'

I am doing simple registration page in laravel 5.1 but got error.these are the files associated to it.

Authcontroller.php

namespace App\Http\Controllers\Auth;

use App\User;
use Validator;
use App\Http\Controllers\Controller;
use Illuminate\Http\Request;
use Illuminate\Foundation\Auth\ThrottlesLogins;
use Illuminate\Foundation\Auth\AuthenticatesAndRegistersUsers;

class AuthController extends Controller
{
    /*
    |--------------------------------------------------------------------------
    | Registration & Login Controller
    |--------------------------------------------------------------------------
    |
    | This controller handles the registration of new users, as well as the
    | authentication of existing users. By default, this controller uses
    | a simple trait to add these behaviors. Why don't you explore it?
    |
    */

    use AuthenticatesAndRegistersUsers, ThrottlesLogins;

    /**
     * Where to redirect users after login / registration.
     *
     * @var string
     */
    protected $redirectTo = '/home';

    /**
     * Create a new authentication controller instance.
     *
     * @return void
     */
    public function __construct()
    {
        $this->middleware('guest', ['except' => 'logout']);
    }

    /**
     * Get a validator for an incoming registration request.
     *
     * @param  array  $data
     * @return \Illuminate\Contracts\Validation\Validator
     */
    protected function validator(array $data)
    {
        return Validator::make($data, [
            'name' => 'required|max:255',
            'email' => 'required|email|max:255|unique:users',
            'password' => 'required|confirmed|min:6',
        ]);
    }

    /**
     * Create a new user instance after a valid registration.
     *
     * @param  array  $data
     * @return User
     */
    protected function create(array $data)
    {
        return User::create([
            'name' => $data['name'],
            'email' => $data['email'],
            'password' => bcrypt($data['password']),
        ]);
    }

   // protected $loginPath = '/login';
    //protected $redirectPath = '/';

    protected function getRegister()
    {
       return view('register');

    }
     protected function getLogin()
    {
       return view('login');

    }



     protected function signme(Request $request)
    {


      print_r($request->all());  

      $validator = Validator::make(
         array(

            'first_name'=>$request->first_name
            'last_name'=>$request->last_name

            ),array(
              "first_name" => 'required',
              "last_name" +> 'required'

            )

        );
      if($validator->fails()){

        return redirect('signup')->withError($validator)->withInput();
      }else{

           echo"this is not gd";
      }

    }
}

This is my authcontroller where it is showing errors.

<h1>signupform</h1>

<div  class="signup-form">
 {!! Form::open(array('url'=>'signme')) !!}

 {!! Form::text('first_name','',array('class'=>'formtext','id'=>"first_name","placeholder"=>'First Name'))!!}<br><br>
 {!! Form::text('last_name','',array('class'=>'formtext','id'=>"last_name","placeholder"=>'Last Name'))!!}<br><br>
 {!! Form::text('email','',array('class'=>'formtext','id'=>"email","placeholder"=>'Email address'))!!}<br><br>
 {!! Form::password('password','',array('class'=>'formtext','id'=>"password","placeholder"=>'password'))!!}<br><br>
 {!! Form::password('c_password','',array('class'=>'formtext','id'=>"c_password","placeholder"=>'Confirm Password'))!!}<br><br>
{!!Form::submit('signup')!!}
   {!! Form::close() !!}

</div>

This is my register blade where we are getting attributes from here. when i am running the code in local server apache it is giving this error.

FatalErrorException in AuthController.php line 100:
syntax error, unexpected ''last_name'' (T_CONSTANT_ENCAPSED_STRING), expecting ')'**

via Chebli Mohamed