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Express (x+8)squared as a trinomial in standard form

User TLD
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2 Answers

5 votes

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

User Mike Jarema
by
3.1k points
9 votes

Step-by-step explanation:

(x + 8)²

= (x + 8)(x + 8)

= x² + 2(x)(8) + 8²

= x² + 16x + 64.

User Zennehoy
by
4.2k points