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If p + 1 = 1 then the value of (p + 2)² + 1 - 3 is : p + 2 (p + 2)³
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- 12
- 16
- 18
- 15
Correct Option: D
Given,
| p + | = 1 | |
| p + 2 |
| ⇒ (p + 2) + | = 2 + 1 = 3 | |
| p + 2 |
On cubing both sides,
| ⇒ (p + 2)³ + | + 3(p + 2) × | ![]() | p + 2 + | ![]() | = 27 | |||
| (p + 2)³ | p + 2 | p + 2 |
| ⇒ (p + 2)³ + | + 3 × 3 = 27 | |
| (p + 2)³ |
| ⇒ (p + 2)³ + | = 27 - 9 = 18 | |
| (p + 2)³ |
| ∴ (p + 2)³ + | - 3 | |
| (p + 2)³ |
= 18 – 3 = 15

