Solve for the numerical coefficient of \( x^{4} \) in the expansion of the given binomial: \( (1-4 x)^{7} \)
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The binomial theorem states that for any positive integer \( n \) and any real numbers \( a \) and \( b \), the expansion of \( (a+b)^{n} \) can be written as: \( (a+b)^{n} = \binom{n}{0} a^{n} b^{0} + \binom{n}{1} a^{n-1} b^{1} + \binom{n}{2} a^{n-2} b^{2} + Show more…
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