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Math Help - Property Help

  1. #1
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    Property Help

    I have this problem:
    a * (a + b) = a

    And I can only use the commutative, distributive, identity, negation properties.

    A hint that my teacher gives is to use is
    a * a (a + b) = (a + 0) * (a + b)

    Can anyone help me?
    My teacher doesn't explain it well at all!
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  2. #2
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    You have to tell us more about what is going on here.
    What is the definition of the operation *?
    How does a(a+b) work or what does a(a+b) mean?
    Please give more information about this problem.
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  3. #3
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    Quote Originally Posted by Plato View Post
    You have to tell us more about what is going on here.
    What is the definition of the operation *?
    How does a(a+b) work or what does a(a+b) mean?
    Please give more information about this problem.
    Whops the hint is actually a * (a + b) = (a + 0) * (a + b)

    But I think you got it.

    * = and
    + = or
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  4. #4
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    This a simple Boolean Algebra.
    This proof may or may not fit your text book.
    [tex]This a simple Boolean Algebra.
    This proof may or may not fit your text book.
    \begin{array}{rcl}<br />
 a*\left( {a + b} \right) & = & \left( {a + 0} \right)*\left( {a + b} \right)\quad \mbox{Identity Law} \\ <br />
  & = & a + \left( {0*b} \right)\quad \mbox{Disributive Law} \\ <br />
  & = & a + 0\quad \mbox{Null Law}l \\ <br />
  & = & a\quad \mbox{Identity Law} \\ <br />
 \end{array}<br />
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