Expand the following using the Binomial Theorem and Pascal’s triangle. Show your work. (x + 2)6 (x − 4)4 (2x + 3)5 (2x − 3y)4 In the expansion of (3a + 4b)8, which of the following are possible variable terms? Explain your reasoning. a2b3; a5b3; ab8; b8; a4b4; a8; ab7; a6b5 These are all one question.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 55RE
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Expand the following using the Binomial Theorem and Pascal’s triangle. Show your work.

  1. (x + 2)6
  2. (x − 4)4
  3. (2x + 3)5
  4. (2x − 3y)4
  5. In the expansion of (3a + 4b)8, which of the following are possible variable terms? Explain your reasoning.
    a2b3; a5b3; ab8; b8; a4b4; a8; ab7; a6b5

These are all one question.

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