1.

If x-1/x=3+2√2,find the value of x³-1/x³​

Answer»

Step-by-step EXPLANATION:

SOLUTION :

(x-1x)3=(x3-1x3)-3⋅x⋅1x⋅(x-1x)

x3-1x3=(x-1x)3+3(x-1x)

x3-1x3=(3+2√2)3+3(3+2√2)

=3+2√2((3+2√2)2+3)

=(3+2√2)(9+8+12√2+3)

=(63+36√2+42√2+24⋅2

=63+48+78√2

=111+78√2.


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