If (x – 1 /x ) = 3 , then find the value of (x³ – 1/x³ )
Answers
Answered by
2
Answer:
you can solve it using the identity a3-b3 =(a-b)(a2+b2+ab)
Answered by
2
Step-by-step explanation:
We know that,
a
3
−b
3
=(a−b)
3
+3ab(a−b)
Here,
a=x
b=
x
1
Substitute these values in the above equation.
x
3
−
x
3
1
=(x−
x
1
)
3
+3(x−
x
1
)
=(3)
3
+3(3)
=27+9
=36
Hence, the required answer is 36.
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