Clarify render prop caveat

content/docs/render-props.md

@@ -305,14 +305,8 @@ To get around this problem, you can sometimes define the prop as an instance met
 
 ```js
 class MouseTracker extends React.Component {
-  constructor(props) {
-    super(props);
-
-    // This binding ensures that `this.renderTheCat` always refers
-    // to the *same* function when we use it in render.
-    this.renderTheCat = this.renderTheCat.bind(this);
-  }
-
+  // Defined as an instance method, `this.renderTheCat` always
+  // refers to *same* function when we use it in render
   renderTheCat(mouse) {
     return <Cat mouse={mouse} />;
   }
@@ -328,4 +322,4 @@ class MouseTracker extends React.Component {
 }
 ```
 
-In cases where you cannot bind the instance method ahead of time in the constructor (e.g. because you need to close over the component's props and/or state) `<Mouse>` should extend `React.Component` instead.
+In cases where you cannot define the prop statically (e.g. because you need to close over the component's props and/or state) `<Mouse>` should extend `React.Component` instead.