Question

Which of the following is a true polynomial identity​

Answer 1

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!

:)

Answer 2

D

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)