Greetings math friends! This post will go over how to expand and simplify cubed binomials 2 different ways. We’re so used to seeing squared binomials such as, , and expanding them without a second thought. But what happens when our reliable squared binomials are now raised to the third power, such as,? Luckily for us, there is a **Rule** we can use:

But where did this rule come from? And how can we so blindly trust it? Which is why we are going to **prove** the above rule here and now using 2 different methods:

**Why bother? **Proving this rule will allow us to expand and simplify any cubic binomial given to us in the future! And since we are proving it 2 different ways, you can choose the method that best works for you.

**Method #1**: **The Box Method**

**Method #2**: **The Distribution Method**

Now that we’ve gone over 2 different methods of cubic binomial expansion, try the following practice questions on your own using your favorite method!

**Practice Questions:** Expand and simplify the following.

**Solutions:**

Still, got questions? No problem! Check out the video above or comment below! Happy calculating! 🙂

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****Bonus**: Test your skills with this ** Regents question **on Binomial Cubic Expansion!