Factor x² + 6x + 9
Step-by-step solution with detailed explanations
Final Answer
(x+3)²
Step-by-Step Solution
1
Recognize
Perfect square trinomial
2
Check
√9 = 3, 2(x)(3) = 6x
3
Factor
(x+3)²
Expert Insights
Pattern: a² + 2ab + b² = (a+b)²
Here: x² + 2(3)x + 3² = (x+3)²
Pro Tip: Check if middle term = 2×√first×√last