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If x = 3 , then the value of 27x3 – 54x2 + 36x – 11 is 2
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11 3 8 -
11 5 8 -
12 3 8 -
12 5 8
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Correct Option: D
x = | (Given) | |
2 |
∴ 27x3 – 54x2 + 36x – 11
= (3x)3 – 3 × (3x)2 × 2 + 3 × 3x
(2)2 – (2)3 – 3
= (3x – 2)3 – 3
[∵ (a – b)3 = a3 – 3a2 b + 3ab2 – b3]
= | ![]() | − 2 | ![]() | 3 | − 3 | |
2 |
= | ![]() | − 2 | ![]() | 3 | − 3 | |
2 |
= | ![]() | ![]() | 3 | − 3 | |
2 |
= | ![]() | ![]() | 3 | − 3 | |
2 |
= | − 3 | |
8 |
= | |
8 |
= | |
8 |
12 | |
8 |