if $$1+x$$−$$2x26=1+a1x+a2x2+$$…$$+a12x12$$ then the expression $$a2+a4+a6+$$…$$+a12$$ has the value

Correct option is 4None of these

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if ${(1 + x - 2 x^{2})}^{6} = 1 + a_{1} x + a_{2} x^{2} + \dots + a_{12} x^{12}$ then the expression $a_{2} + a_{4} + a_{6} + \dots + a_{12}$ has the value

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Correct option is D

Given that,1+x−2x26=1+a1x+a2x2+…+a12x12 on putting X=1 and-1 adding the results we get 64=21+a2+a4+…+a12∴ a2+a4+a6+…+a12=31

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if 1+x−2x26=1+a1x+a2x2+…+a12x12 then the expression a2+a4+a6+…+a12 has the value

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if ${(1 + x - 2 x^{2})}^{6} = 1 + a_{1} x + a_{2} x^{2} + \dots + a_{12} x^{12}$ then the expression $a_{2} + a_{4} + a_{6} + \dots + a_{12}$ has the value