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  1. If 2x +
    2
    = 3 ,then the value of x3 +
    1
    + 2 is
    xx3

    1. -
      9

      8

    2. -
      25

      8

    3. 7

      8

    4. 11
Correct Option: C

2x +
2
= 3
x

Divided by 2 on both sides ,
⇒ x +
1
=
3
x2

On cubing,
⇒ x3 +
1
+ 3x +
1
=
27
x3x8

⇒ x3 +
1
+ 3 ×
3
=
27
x328

⇒ x3 +
1
=
27
-
9
x382

=
27 - 36
= -
9
88

∴ x3 +
1
+ 2 = 2 -
9
=
7
x388



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