Question
Use the Binomial Theorem to find the indicated coefficient or term.The coefficient of $x^7$ in the expansion of $(2 x+3)^9$
Step 1
The Binomial Theorem states that for any positive integer \( n \), the expansion of \( (a + b)^n \) is given by: \[ (a + b)^n = \sum_{k=0}^{n} \binom{n}{k} a^{n-k} b^k \] In this problem, \( a = 2x \), \( b = 3 \), and \( n = 9 \). Show more…
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