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The sum of the coefficients of even powers of x in the expansion of ${({1+x+x}^{2} {+x}^{3})}^{5} is$

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Correct option is B

Sum of the coefficients of odd powers of x in f(x) is f(1)−f(−1)2=(1+1+1)5−(1+1+1)52=452=512

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The sum of the coefficients of even powers of x in the expansion of 1+x+x2+x35is

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The sum of the coefficients of even powers of x in the expansion of ${({1+x+x}^{2} {+x}^{3})}^{5} is$