如何在laravel中显示具有多个子类别的随机顺序的15个产品？

// 产品模型
class Product extends Model {
    public function subcategories() {
        return $this->belongsToMany(Subcategory::class);
    }
}

// 子类别模型
class Subcategory extends Model {
    public function products() {
        return $this->belongsToMany(Product::class);
    }
}

// 产品控制器
class ProductController extends Controller {
    public function index() {
        $products = Product::with('subcategories')
            ->inRandomOrder()
            ->has('subcategories', '>=', 2)
            ->take(15)
            ->get();
        
        return view('products.index', compact('products'));
    }
}

// 路由配置
Route::get('/products', 'ProductController@index');

// 产品视图（products.index.blade.php）
@foreach ($products as $product)
    <h3>{{ $product->name }}</h3>
    <ul>
        @foreach ($product->subcategories as $subcategory)
            <li>{{ $subcategory->name }}</li>
        @endforeach
    </ul>
@endforeach