Question

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

Answer 1

See the entire solution process below:

Explanation:

We can use this rule to simplify this expression:

`(a + b)^2 = (a + b)(a + b) = a^2 + 2ab + b^2`

Substituting `sqrt(x)` for `a` and `4` for `b` gives:

`(sqrt(x) + 4)^2 = (sqrt(x) + 4)(sqrt(x) + 4) = (sqrt(x))^2 + (2sqrt(x))*4 + 4^2`

`= x + 8sqrt(x) + 16`