Find the value of the mathematical expression (√3 + √2)³ + (√3 - √2)³?
Solution
Correct Answer: Option D
(√3 + √2)³ + (√3 - √2)³
= (√3)³ + 3.(√3)².√2 + 3.√3.(√2)² + (√2)³ + (√3)³ - 3.(√3)².√2 + 3.√3.(√2)² - (√2)³
= 3√3 + 9√2 + 6√3 + 2√2 + 3√3 - 9√2 + 6√3 - 2√2
= 6√3 + 12√3
= 18√3
= (√3)³ + 3.(√3)².√2 + 3.√3.(√2)² + (√2)³ + (√3)³ - 3.(√3)².√2 + 3.√3.(√2)² - (√2)³
= 3√3 + 9√2 + 6√3 + 2√2 + 3√3 - 9√2 + 6√3 - 2√2
= 6√3 + 12√3
= 18√3
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