Question

How do you find the product of `(x+6)^2`?

Answer 1

`x^2+12x+36`

Explanation:

`(x+6)^2 = (x+6)(x+6)=x^2+12x+36`

Answer 2

`x^2+12x+36`

Explanation:

`(x+6)^2=(x+6)(x+6)`

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

`(color(red)(x+6))(x+6)`

`=color(red)(x)(x+6)color(red)(+6)(x+6)larrcolor(blue)"distribute"`

`=(color(red)(x)xx x)+(color(red)(x)xx6)+(color(red)(6)xx x)+(color(red)(6)xx6)`

`=x^2color(blue)(+6x)color(blue)(+6x)+36larrcolor(magenta)"collect like terms"`

`=x^2+12x+36`