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If 2x + 2 = 4, then the value of 27x³ + 1 is : 9x 27x³
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- 180
- 198
- 234
- 252
Correct Option: B
∵ 2x + | = 4 | |
9x |
On dividing both sides by 2,
x + | = 6 | |
3x |
On multiplying both sides by 3,
![]() | 3x + | ![]() | ³ | = 6³ | ||
3x |
On cubing both sides,
∴ 27x³ + | + 3 × 3x × | ![]() | 3x + | ![]() | = 216 | |||
27x³ | 3x | 3x |
⇒ 27x³ + | + 3 × 6 = 216 | |
27x³ |
⇒ 27x³ + | = 216 - 18 | |
27x³ |
= 198