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If (1 + x+ 2x^(2))^(20) = a(0) + a(1) x ...

If `(1 + x+ 2x^(2))^(20) = a_(0) + a_(1) x + a_(2) x^(2) + …+ a_(40) x^(40)` .
The value of ` a_(0) + a_(2) + a_(4) + …+ a_(38)` is

A

`2^(20)(2^(20)+1)`

B

`2^(20)(2^(20)+1)`

C

`2^(39)-2^(19)`

D

`2^(39)+2^(19)`

Text Solution

Verified by Experts

The correct Answer is:
C
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NTA MOCK TESTS-NTA JEE MOCK TEST 64-MATHEMATICS
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