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$$T_k = \,^{100}C_k \cdot x^{100-k} \quad \text{for} \quad k = 0, 1, 2, \ldots 100$$

Then, what will be the value of
$$\Bigl (T_0 - T_2 + T_4 - \cdots + T_{100} \Bigr )^2 + \Bigl (T_1 - T_3 + T_5 - \cdots - T_{99} \Bigr )^2$$

The answer should be in terms of $x$
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Is it

100C0x^200+100C1x^198+100C2x^196+100C3x^194+.............................+1
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