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// create_categories_table

/**
     * Run the migrations.
     *
     * @return void
     */
    public function up()
    {
        Schema::create('categories', function (Blueprint $table) {
            $table->increments('id');
            $table->string('title');
            $table->timestamps();
        });
    }
    ########################################
    // create_products_table

   /**
     * Run the migrations.
     *
     * @return void
     */
    public function up()
    {
        Schema::create('products', function (Blueprint $table) {
            $table->increments('id');
            $table->string('name');
            $table->float('price');
            $table->timestamps();
        });
    }
    ########################################
    // create_category_product_table

/**
     * Run the migrations.
     *
     * @return void
     */
    public function up()
    {
        Schema::create('category_product', function (Blueprint $table) {
            $table->increments('id');
            $table->integer('category_id')->unsigned();
            $table->integer('product_id')->unsigned();
        });
    }
    ########################################
    // Product.php

<?php

namespace App;

use Illuminate\Database\Eloquent\Model;

class Product extends Model
{
    public function categories()
    {
        return $this->belongsToMany(Category::class);
    }
}
    ########################################
    // Category.php

<?php

namespace App;

use Illuminate\Database\Eloquent\Model;
use App\Product;

class Category extends Model
{
    public function products()
    {
        return $this->belongsToMany(Product::class);
    }
}
    ########################################
    // ProductController.php

<?php

namespace App\Http\Controllers;
use App\Category;
use App\Product;

use Illuminate\Http\Request;

class ProductController extends Controller
{
    public function create(Request $request)
    {
        $product = new Product;
        $product->name = 'God of War';
        $product->price = 40;

        $product->save();

        $category = Category::find([3, 4]);
        $product->categories()->attach($category);

        return 'Success';
    }
}
    ########################################
    // show.blade.php

<h2>Product Name: </h2>
<p>{{ $product->name }} || ${{ money_format($product->price, 2) }}</p>

<h3>Product Belongs to</h3>

<ul>
    @foreach($product->categories as $category)
    <li>{{ $category->title }}</li>
    @endforeach
</ul>
######################################
// ProductController.php

public function removeCategory(Product $product)
{
        $category = Category::find(3);

        $product->categories()->detach($category);
        
        return 'Success';
}
######################################