Question

How do you find the product of `(x+2)(x+2)`?

Answer 1

`x^2+4x+4`

Explanation:

We must ensure that each term in the 2nd bracket is multiplied by each term in the 1st bracket.
This can be achieved as follows.

`(color(red)(x+2))(x+2)=color(red)(x)(x+2)+color(red)(2)(x+2)`

distribute each pair of brackets.

`color(red)(x)(x+2)+color(red)(2)(x+2)=x^2+2x+2x+4=x^2+4x+4`