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""^(15)P(8)=A+8.""^(14)P(7 )implies A=...

`""^(15)P_(8)=A+8.""^(14)P_(7 )implies A=`

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If (1-x+x^(2))^(4)=1+P_(1)x+P_(2)x^(2)+P_(3)x^(3)+...+P_(8)x^(8) , then prove that : P_(2)+P_(4)+P_(6)+P_(8)=40 and P_(1)+P_(3)+P_(5)+P_(7)=-40 .

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If (1-x+x^(2))^(4)=1+P_(1)x+P_(2)x^(2)+P_(3)x^(3)+…….+P_(8)x^(8), then prove that : P_(2)+P_(4)+_(6)+P_(8)=40 " and "P_(1)+P_(3)+P_(5)+P_(7)=-40