In the expansion of ${(x + a)^n}$, the sum of odd terms is $P$ and sum of even terms is $Q$, then the value of $({P^2} - {Q^2})$ will be

  • A

    ${({x^2} + {a^2})^n}$

  • B

    ${({x^2} - {a^2})^n}$

  • C

    ${(x - a)^{2n}}$

  • D

    ${(x + a)^{2n}}$

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If ${(1 - x + {x^2})^n} = {a_0} + {a_1}x + {a_2}{x^2} + .... + {a_{2n}}{x^{2n}}$, then ${a_0} + {a_2} + {a_4} + .... + {a_{2n}} = $

The sum of coefficients in the expansion of ${(1 + x + {x^2})^n}$ is

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