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  • 25-09-2019
  • Mathematics
contestada

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

Respuesta :

jimrgrant1 jimrgrant1
  • 25-09-2019

Answer:

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

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