Final answer:
To express (x+8)² as a trinomial in standard form, expand the square using the formula (a+b)² = a² + 2ab + b². This simplifies to x² + 16x + 64.
Step-by-step explanation:
To express (x+8)² as a trinomial in standard form, we need to expand the square using the formula (a+b)² = a² + 2ab + b². Applying this formula:
(x+8)² = x² + 2 × x × 8 + 8²
This simplifies to:
x² + 16x + 64