Math, asked by arshiad09, 1 month ago

If x-2/x=3,then x^3-8/x^3=​

Answers

Answered by sharvariumate
0

Step-by-step explanation:

Given ⇒ x−

x

2

=3…(i)

We have to find x

3

x

3

8

Cube on both side of (i),

(x−

x

2

)

3

=(3)

3

⇒x

3

x

3

2

3

−3⋅x⋅(

x

2

)(x−

x

2

)=27 by using (a−b)

3

=a

3

−b

3

−3ab(a−b)

⇒x

3

x

3

8

−6(3)=27

⇒x

3

x

3

8

=27+18

⇒x

3

x

3

8

=45

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