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  1. If x +
    1
    		 =
    3
    		 , find the value of 8x3 +
    1
    4x28x3
    1. 18
    2. 36
    3. 24
    4. 16
Correct Option: A

Using Rule 8,

x +
1
 =
3
4x2

Multiplying both sides by 2
⇒ 2x +
1
 = 3
2x

On cubing both sides,
∴ 8x3 +
1
 + 3 × 2x ×
1
 × 2x +
1
 = 27
8x32x2x

⇒ 8x3 +
1
 + 3 × 3 = 27
8x3

⇒ 8x3 +
1
 = 27 – 9 = 18
8x3


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