Question

-
If y-1/y =9 find the value of y3-1/y3​

Answer 1

Answer:

756

Step-by-step explanation:

9(81+4)

=756

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Answer 2

Given -

y - 1/y = 9 .

To find -

Find the value of -

y³ - 1/y³

Solution -

Here , y - 1/y = 9

Cubing this given expression -

( y - 1 / y )³ = 9³

=> ( y - 1 / y )³ = 729

=> y³ - 1 / y³ - 3 ( y - 1 / y ) = 729

=> y³ - 1 / y³ - 3 ( 9 ) = 729

=> y³ - 1 / y³ = 729 + 27

=> y³ - 1 / y³ = 756.

Thus , the required value of y³ - 1 / y³ is 756 .

This is the answer .

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