Answer:
2(3x - 5)²
Explanation:
Given
18x² - 60x + 50 ← factor out 2 from each term
= 2(9x² - 30x + 25) ← perfect square of the form
(ax - b)² = a²x² - 2abx + b²
Compare coefficients with 9x² - 30x + 25
a² = 9 ⇒ a = 3 and b² = 25 ⇒ b = 5, thus
18x² - 60x + 50
= 2(3x - 5)²