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B) x³+3x = p - (1/p)
Step-by-step explanation:
Given,
Using (a–b)^3 = a^3 –b^3 –3 ab(a–b) tick the correct of these when x = p^(1/3) – p^(–1/3)
Given,
(a – b)^3 = a^3 – b^3 – 3 ab(a – b)
Also, given,
x = p^1/3 – p^(-1/3)
So,
x^3 = (p^1/3)^3 – (p^-1/3)^3 – 3.p^1/3.p^(-1/3)(p^1/3 – p^(-1/3))
Now x^3 = p – p^(-1) – 3 x
So, x^3 + 3 x = p – 1/p
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