x - ( 1 )/( x ) = sqrt ( 3 );x ^ ( 3 ) - ( 1 )/( x ^ ( 3 ) )
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(x-1/x)^3=x^3-1/x^3-3(x-1/x)
3(x-1/x)+(x-1/x)^2=x^3-1/^3
3root3+3=x^3-1/x^3
x^3-1/x^3=6root3
3(x-1/x)+(x-1/x)^2=x^3-1/^3
3root3+3=x^3-1/x^3
x^3-1/x^3=6root3
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ayushmang4428:
answer is not clear
Answered by
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Answer:
6√3
Step-by-step explanation:
Given :
If then,.
To find the value of :
Solution :
Given :
We know that,.
( a - b )² = a² - 2ab + b²
Substituting, a = x & b =
We get,
⇒
⇒
⇒
⇒ ...(ii)
We also know that,
a³ - b³ = (a - b)(a² + ab + b²)
=
=
=
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