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  1. If p +
    1
    = 1 then the value of (p + 2)² +
    1
    - 3 is :
    p + 2(p + 2)³
    1. 12
    2. 16
    3. 18
    4. 15
Correct Option: D

Given,

p +
1
= 1
p + 2

⇒ (p + 2) +
1
= 2 + 1 = 3
p + 2

On cubing both sides,
⇒ (p + 2)³ +
1
+ 3(p + 2) ×
1
p + 2 +
1
= 27
(p + 2)³p + 2p + 2

⇒ (p + 2)³ +
1
+ 3 × 3 = 27
(p + 2)³

⇒ (p + 2)³ +
1
= 27 - 9 = 18
(p + 2)³

∴ (p + 2)³ +
1
- 3
(p + 2)³

= 18 – 3 = 15



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