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Expand the following using the Binomial Theorem and Pascal's triangle. Show your work. (x + 2) 6 (x 4) 4 (2x + 3) 5 (2x

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.
  6. a2b3; a5b3; ab8; b8; a4b4; a8; ab7; a6b5

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