Math, asked by pujaghosh9051, 2 months ago

If x- 1/x =3 + 2√2, find the value of ¼ (x3 – 1/x3
)​

Answers

Answered by purvajamahajan120
0

Answer:

Step-by-step explanation:

It is given that,

x−1/x−3+2  

2

​  

 

So,

x  

3

−1/x  

3

=(x−1/x)  

3

+3(x−1/x)

=(3+2  

2

​  

)  

3

+3(3+2  

2

​  

)

By using the formula, (a+b)  

3

=a  

3

+b  

3

+3ab(a+b)

=(3)  

3

+(2  

2

​  

)  

3

+3(3)(2  

2

​  

)(3+2  

2

​  

)+3(3+2  

2

​  

)

=27+16  

2

​  

+54  

2

​  

+72+9+6  

2

​  

 

=108+76  

2

​  

 

Hence,

1/4(x  

3

−1/x  

3

)=1/4(108+76  

2

​  

)

=27+19  

2

​  

 

Answered by noofalshehhi
0

Answer:

x^ 3/ 4 − 3/ 4 x

Step-by-step explanation:

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