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  1. If 2x +
    2
    = 4, then the value of 27x³ +
    1
    is :
    9x27x³
    1. 180
    2. 198
    3. 234
    4. 252
Correct Option: B

∵ 2x +
2
= 4
9x

On dividing both sides by 2,
x +
2
= 6
3x

On multiplying both sides by 3,
3x +
1
³ = 6³
3x

On cubing both sides,
∴ 27x³ +
1
+ 3 × 3x ×
1
3x +
1
= 216
27x³3x3x

⇒ 27x³ +
1
+ 3 × 6 = 216
27x³

⇒ 27x³ +
1
= 216 - 18
27x³

= 198



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