Here are three methods of multiplying binomials. Method 1 is known as the long method of multiplication. It’s the same procedure you did with numbers in primary school. It works with multiplying any two polynomials. Method 2 looks efficient but it only works for multiplying binomials. It’s also called the FOIL method for multiplying binomials. Can you see how this relates with Method 1? Method 3 is also known as the area method. It works for multiplying any two polynomials as well. It’s the same as Method 1 but easier to manage the terms. You just add the area diagonally.

I hope these illustrations of the methods will be of help you. Be careful with the signs when you multiply.

It would also be beneficial to see WHY these are all the same thing…besides a diagram. Thanks for pointing this out!