Question

Select the expression that represents the simplified result.

Answer 1

`|f(x)|^2=x^2+4x+4`.

Explanation:

1. Write the argument of the function.

`x+2`

2. Write the expression to be simplified.

`|x+2|^2`

3. Using the rule ot the perfect square binomial, rewrite the expression.

Perfect square binomial: (a + b)² = a² + 2ab + b².

a= x

b= 2

`(x)^2+2(x)(2)+(2)^2\\x^2+4x+4`

4. Express your result.

`|f(x)|^2=x^2+4x+4`.