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Which of the following is a correct application of the Binomial Theorem?

Practice Questions

Q1
Which of the following is a correct application of the Binomial Theorem?
  1. Finding the roots of a polynomial.
  2. Calculating the area under a curve.
  3. Expanding (x + 1)^n for any integer n.
  4. Solving differential equations.

Questions & Step-by-Step Solutions

Which of the following is a correct application of the Binomial Theorem?
  • Step 1: Understand that the Binomial Theorem is a formula used to expand expressions that look like (x + y) raised to a power n.
  • Step 2: Identify the expression you want to expand. It should be in the form of (x + y)^n.
  • Step 3: Apply the Binomial Theorem, which states that (x + y)^n = sum of (n choose k) * x^(n-k) * y^k for k from 0 to n.
  • Step 4: Calculate the coefficients (n choose k) for each term in the expansion.
  • Step 5: Write out each term of the expansion using the calculated coefficients and the powers of x and y.
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