How do you foil (x+3)^2 (x+3)2?

1 Answer
May 24, 2018

x^2+6x+9x2+6x+9

Explanation:

First, let's rewrite the expression as

(x+3)(x+3)(x+3)(x+3)

Rewriting it in this form is what allows us to do FOIL, which stands for Firsts, Outsides, Insides, Lasts. This is the order we'll multiply in:

  • Multiply the first terms: x*x=x^2xx=x2
  • Multiply the outside terms: x*3=3xx3=3x
  • Multiply the inside terms: 3*x=3x3x=3x
  • Multiply the last terms: 3*3=933=9

Now, we have the following:

x^2+3x+3x+9x2+3x+3x+9

Which can obviously be simplified to

x^2+6x+9x2+6x+9

Hope this helps!