JSFiddle - React, Tailwind, and code Playground

HTML

<form omethod="get" action="/search/">
    <table border="0" cellpadding="0" cellspacing="0">
        <tbody>
            <tr>
                <td nowrap="nowrap">
                    <input type="text">
                    <input type="submit" value="Найти">
                </td>
                <td nowrap="nowrap">
                    <div>
                        <a href="#">Ссылка</a>
                    </div>
                </td>
            </tr>
        </tbody>
    </table>
</form>

JavaScript

var form = document.querySelector("form");
var input_one = form.querySelector("input[type=text]");
var input_two = form.querySelector("input[type=submit]");
var table = form.querySelector("table");

form.removeChild(table);
form.appendChild(input_one);
form.appendChild(input_two);