Tweak examples a bit in README.md

Author: ilijastuden

README.md

@@ -12,15 +12,15 @@ Only users with accounts in our application can be authenticated.
 
 ## Working with Passwords
 
-### Hashing Passwords
+### Hashing and Validating Passwords
 
 Passwords can be hashed using one of the three mechanisms:
 
 1. PHP's built in `password_*` functions. This is default and recommended method
 1. Using PBKDF2
 1. Using SHA1
 
-Later two are there for compatibility resons only, so you can transition your hashed passwords to PHP's password management system if you have not done that already. Password manager's `needsRehash()` method will always recommend rehashing for PBKDF2 and SHA1 hashed passwords.
+Later two are there for compatibility reasons only, so you can transition your hashed passwords to PHP's password management system if you have not done that already. Password manager's `needsRehash()` method will always recommend rehashing for PBKDF2 and SHA1 hashed passwords.
 
 Example:
 
@@ -41,8 +41,6 @@ Library offers a way to check if password needs to be rehashed, usually after yo
 ```php
 $manager = new PasswordManager('global salt, if needed');
 
-$hash = $manager->hash('easy to remember, hard to guess');
-
 if ($manager->verify($user_provided_password, $hash_from_storage, PasswordManagerInterface::HASHED_WITH_PHP)) {
     if ($manager->needsRehash($hash_from_storage, PasswordManagerInterface::HASHED_WITH_PHP)) {
         // Update hash in our data storage
@@ -79,7 +77,7 @@ Here's an example where all rules are enforced:
 (new PasswordStrengthValidator())->isPasswordValid('BhkXuemYY#WMdU;QQd4QpXpcEjbw2XHP', new PasswordPolicy(32, true, true, true));
 ```
 
-## Generating Passwords
+### Generating Random Passwords
 
 Password strength validator can also be used to prepare new passwords that meed the requirements of provided policies: