Answer:
(4x + 3)²
Step-by-step explanation:
Given
16x² + 24x + 9
This is a perfect square of the form
(ax + b)² = a²x² + 2abx + b²
Compare coefficients to 16x² + 24x + 9, that is
a² = 16 ⇒ a = [tex]\sqrt{16}[/tex] = 4
b² = 9 ⇒ b = [tex]\sqrt{9}[/tex] = 3
and 2ab = 2 × 4 × 3 = 24
Thus
16x² + 24x + 9 = (4x + 3)²
