Question

Write as product
8x^3-1

Answer 1

(2x - 1)(4x² + 2x + 1)

Explanation:

use difference of cubes formula: x³ - y³ = (x - y)(x² + xy +y²)

8x³ - 1 = (2x)³ - 1³ ⇒ x = 2x and y = 1

(x - y)(x² + xy +y²)

= (2x - 1)((2x)² + 2(1)x + 1²)

= (2x - 1)(4x² + 2x + 1)