The degree of the expansion ${(x + {(x - 1)}^{1 / 2})}^{6} + {(x - {(x - 1)}^{1 / 2})}^{6}$ is

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Solution

The correct option is A 6
Upon expansion, we get
$2 [^{6} C_{0} x^{6} +^{6} C_{2} x^{4} (x - 1) + . . .^{6} C_{6} (x - 1)^{3}]$
Hence the term with the largest degree is $^{6} C_{0} x^{6}$ .
Hence the above polynomial of 6th degree.

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