dg013518 dg013518
  • 23-01-2022
  • Mathematics
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Write as product
8x^3-1

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semsee45
semsee45 semsee45
  • 23-01-2022

Answer:

(2x - 1)(4x² + 2x + 1)

Step-by-step 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)

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