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Obtain the value of (√3 +1)6 + (√3 – 1)6 using binomial expansion method.

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(√3 + 1)6 + (√3 – 1)6

= 2(3)3 + 30(3)2 + 30(3) + 2

= 2 × 27 + 30 × 9 + 90 + 2

= 54 + 270 + 92

= 416

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