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  1. If 2x -
    2
    = 1(x ≠ 0) then the value of x³ -
    1
    is
    x

    1. 13
      4
    2. 13
      8
    3. 17
      4
    4. 17
      8
Correct Option: B

2x -
2
= 1
x

On dividing both sides by 2,
x -
1
=
1
x2

On cubing both sides,
x -
1
=
1
x8

⇒ x³ -
1
- 1 x -
1
=
1
x8

⇒ x³ -
1
- 3 ×
1
=
1
28

⇒ x³ -
1
=
3
+
1
28

⇒ x³ -
1
=
12 + 1
=
13
88



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