Problem 44 of 7
Find the coefficient of the specified power in coefficient of x in (2x-3)^3.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
match exponents and coefficient.
Hidden until you reveal it.
Match powers to the binomial term index and include coefficient powers inside terms.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Identify the term index from the requested power.
2. Apply nCk(first term)^(n-k)(second term)^k.
3. Extract and simplify the coefficient.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Ignoring coefficients inside ax+b.