Use the Binomial Theorem to complete the expansion of (x + 2)^4. x^4 + 8x^3 + 24x^2 + 32x + ____

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Use the Binomial Theorem to complete the expansion of (x + 2)^4.  x^4 + 8x^3 + 24x^2 + 32x + ____

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Identify values of a, b, n: Identify the values of a, b, n from the expression (x + 2)^4. Here, a = x, b = 2, and n = 4.Recognize pattern of binomial expansion: Recognize the pattern of the binomial expansion to determine the index of the missing term. The given expansion is x^4 + 8x^3 + 24x^2 + 32x + ____. The missing term is the constant term, which corresponds to r = 4 in the binomial expansion.Use binomial coefficient formula: Use the binomial coefficient formula to find the missing term. The general term in a binomial expansion is given by (n choose r) * a^(n-r) * b^r. For the missing term, we have (4 choose 4) * x^(4-4) * 2^4.Calculate binomial coefficient: Calculate the binomial coefficient (4 choose 4), which is equal to 1 because any number choose itself is 1.Simplify expression for missing term: Simplify the expression for the missing term. We have 1 * x^(4-4) * 2^4, which simplifies to 1 * x^0 * 16, since x^0 is 1.Calculate value of missing term: Calculate the value of the missing term. The expression simplifies to 1 * 1 * 16, which equals 16.

Use the Binomial Theorem to complete the expansion of $(x + 2)^4$ . $\newline$ $x^4 + 8x^3 + 24x^2 + 32x + \underline{\hspace{1cm}}$

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Use the Binomial Theorem to complete the expansion of (x+2)4(x + 2)^4(x+2)4. \newlinex4+8x3+24x2+32x+‾x^4 + 8x^3 + 24x^2 + 32x + \underline{\hspace{1cm}}x4+8x3+24x2+32x+​

Use the Binomial Theorem to complete the expansion of $(x + 2)^4$ . $\newline$ $x^4 + 8x^3 + 24x^2 + 32x + \underline{\hspace{1cm}}$