Answer :
Final answer:
The expression (4x+1)^(7) is expanded using the Binomial theorem as an operation of Binomics in mathematics. The correct answer is: 16384x^7 + 114688x^6 + 258048x^5 + 215040x^4 + 86016x^3 + 172032x^2 + 134456x + 1.
Explanation:
The question asks to expand the expression (4x+1)^(7). This falls under the concept of Binomics in mathematics and the operation is carried out using the Binomial Theorem. A simple way of stating the Binomial theorem is: The expression (a+b)^n can be expanded as (a^n) + n(a^(n-1))+…+ (b^n). So, the correct option among the given choices would be: 16384x^7 + 114688x^6 + 258048x^5 + 215040x^4 + 86016x^3 + 172032x^2 + 134456x + 1. This forms the expanded form of the binomial expression (4x+1)^(7).
Learn more about Binomial Expansion here:
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