meredith48034
meredith48034 meredith48034
  • 21-05-2020
  • Mathematics
contestada

which of the following is a true polynomial identity​

which of the following is a true polynomial identity class=

Respuesta :

amna04352
amna04352 amna04352
  • 21-05-2020

Answer:

D

Step-by-step explanation:

a⁶ - b⁶

(a³)² - (b³)²

(a³ - b³)(a³ + b³)

[(a - b)(a² + ab + b²)][(a + b)(a² - ab + b²)]

(a - b)²(a² + ab + b²)(a² - ab + b²)

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ronhagrid310
ronhagrid310 ronhagrid310
  • 21-05-2020

Answer:

P = a^6 - b^6

  = (a^3)^2 - (b^3)^2

  = (a^3 + b^3)(a^3 - b^3)

  = (a + b)(a^2 - ab + b^2)(a - b)(a^2 + ab + b^2)

  = (a + b)(a - b)(a^2 - ab + b^2)(a^2 + ab + b^2)

  = (a^2 - b^2)(a^2 - ab + b^2)(a^2 + ab + b^2)

=> Option D is correct.

Hope this helps!

:)

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