Question

Solve the equation with special factors. (Please show all steps)
2x^3 - 2x = 0

Answer 1

x = 0 , x = ± 1

Explanation:

2x³ - 2x = 0 ← factor out 2x from each term

2x(x² - 1) = 0 ← x² - 1 is a difference of squares

2x(x - 1)(x + 1) = 0

Equate each factor to zero and solve for x

2x = 0 ⇒ x = 0

x - 1 = 0 ⇒ x = 1

x + 1 = 0 ⇒ x = - 1