Wednesday, November 15, 2017

Middle School Math Solutions – Expand Calculator, Perfect Squares

The perfect square formula is an application of the FOIL method that will help you calculate the square of a binomial quickly.

Let’s take a look at the formula:


Here’s the proof:


Now, let’s see some examples using the perfect squares formula.

First example (click here):

                                                         Expand (x+1)^2

1. Apply the formula



Second example (click here):

                                                         Expand (5-x)^2

1. Apply the formula



Last example (click here):

                                                      Expand (s^2+4p)^2

1. Apply the formula

                                                            a=s^2, b=4p

                                                           =s^4+8s^2 p+16p^2

The more you practice these problems, the faster you will be able to do them. I’ve used this formula so much, that now, I don’t need it since I can do it all mentally. For more help or practice on this topic, check out Symbolab’s Practice.

Until next time,