Question

How do you simplify `(x + 4)^2`?

Answer 1

`x^2+8x+16`

Explanation:

`"each term in the second bracket must be multiplied by each"`
`"term in the first bracket"`

`rArr(x+4)^2=(x+4)(x+4)`

`rArr(color(red)(x+4))(x+4)`

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

`=(color(red)(x)xx x)+(color(red)(x)xx4)+(color(red)(4)xx x)+(color(red)(4)xx4)`

`=x^2+4x+4x+16`

`=x^2+8x+16`