If x = ³√7 + 3 then the vlaue of x3

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If x = ³√7 + 3 then the vlaue of x³ - 9x² + 27x - 34 is :

1. 0
2. 1
3. 2
4. –1

Correct Option: A

x = ³√7 + 3
⇒ x - 3 = ³√7
On cubing both sides ,
(x - 3)³ = (³√7)³
⇒ x³ - 3.x².3 + 3.x.(3)² - (3)³ = 7
⇒ x³ - 9x² + 27x - 27 = 7
⇒ x³ - 9x² + 27x - 34 = 0