Michigan State University - Diagnostic Exam

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4.16

  •   3 3 (a + 2b) = (?)

    a) a9 + 6a6b + 12a3b2 + 8b3 b) a9 + 3a6b + 3a3b2 + b3
      
    c) a6 + 6a5b + 12a3b2 + 8b3 d) a9 + 8b3
      
    e) a9 + 6a3b + 8b3

Solution:

According to the Binomial Theorem,

3 3 ( 3)3 ( 3)2 ( 3) 2 3 (a + 2b) = a + 3 a (2b) + 3 a (2b ) + (2b) = a9 + 6a6b + 12a3b2 + 8b3

Diagnostic:

If you miss this question please review binomial theorem.

Also, see 3.11: Quadratic Functions .

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July 15, 2008