Question

question
express ((x + 4)^2) as a trinomial in standard form.
answer attempt 1 out of 2

Explanation:

Step1: Expand the squared binomial

$(x+4)^2 = (x+4)(x+4)$

Step2: Apply distributive property (FOIL)

$x \cdot x + x \cdot 4 + 4 \cdot x + 4 \cdot 4$

Step3: Simplify each term

$x^2 + 4x + 4x + 16$

Step4: Combine like terms

$x^2 + (4x+4x) + 16 = x^2 + 8x + 16$

Answer:

$x^2 + 8x + 16$