Question

How do you simplify `(x+3)(x+3)`?

Answer 1

`x^2+6x+9`

Explanation:

`"each term in the second factor is multiplied by each term"`
`"in the first factor"`

`rArr(color(red)(x+3))(x+3)`

`=color(red)(x)(x+3)color(red)(+3)(x+3)larrcolor(blue)"distribute"`

`=(color(red)(x)xx x)+(color(red)(x)xx3)+(color(red)(3)xx x)+(color(red)(3)xx3)`

`=x^2+3x+3x+9larrcolor(blue)"collect like terms"`

`=x^2+6x+9`