Question

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

Answer 1

`x^2+6x+9`

Explanation:

First, let's rewrite the expression as

`(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^2`
• Multiply the outside terms: `x*3=3x`
• Multiply the inside terms: `3*x=3x`
• Multiply the last terms: `3*3=9`

Now, we have the following:

`x^2+3x+3x+9`

Which can obviously be simplified to

`x^2+6x+9`

Hope this helps!