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How can the Binomial Theorem be useful in helping to prove and use polynomial identities? Explain your reasoning with an example, if possible. This example

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How can the Binomial Theorem be useful in helping to prove and use polynomial identities? Explain your reasoning with an example, if possible. This example does not have to be one you create on your own. You can feel free to research outside ideas and post links to the ideas you have found. Make sure to respond to at least one other person's post as well by asking clarifying questions, supporting them with further examples, or providing counterexamples to their work. Then reply to at least one other person's response to an original post in a similar fashion

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