Factor Completely: 32x^2 - 50

2 (4x - 5) (4x + 5)

Step-by-step explanation:

After you remove the common factor of 2, you recognize the expression as the difference of squares. That gets factored according to its special form:

a² - b² = (a - b) (a + b)

__

32x^2 - 50 = 2 (16x^2 - 25) = 2 ((4x) ^2 - 5^2)

= 2 (4x - 5) (4x + 5)