If \( \left(1+x-2 x^{2}\right)^{6}=1+a_{1} x+a_{2} x^{2}+\cdots+a_{12} x^{12} \), then find the ...

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PW Solutions
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1-2-Switch (2017)
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If \( \left(1+x-2 x^{2}\right)^{6}=1+a_{1} x+a_{2} x^{2}+\cdots+a_{12} x^{12} \), then find the value of \( a_{2}+a_{4}+a_{6}+\cdots+a_{12} \).
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