The Binomial Theorem states that:
$$(a+b)^n = \sum_{k=0}^{n} \binom{n}{k} a^{n-k} b^k$$
where $\binom{n}{k}$ is the binomial coefficient, which is defined as:
$$\binom{n}{k} = \frac{n!}{k!(n-k)!}$$
Now, let's apply this theorem to $(2x+3y)^4$:
$$(2x+3y)^4 =
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