Factor the expression shown below completely. 18x^2-60x+50

2 (3x - 5) ²

Step-by-step 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