-, .classX , - .class . closest() , , find(), class-sub. :
$(document).ready(function() {
$(".button").click(function() {
$(this).closest('.class').find(".class-sub").show();
});
});
<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<div class="class class1">
<div>
<a class="button">Click sub class1 class</a>
</div><br />
<div class="class-sub" style="display: none">form class2</div>
</div>
<div class="class class2">
<div>
<a class="button">Click sub class2 class</a>
</div><br />
<div class="class-sub" style="display: none">form class2</div>
</div>
Hide result, show() toggle(), / .
parent(), class , , .