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Math Help - Induction help

  1. #1
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    Induction help

    I have to prove the distributive law (x+y)z = xz + yz using induction.

    I have fixed x,y in the Natural Numbers.
    Im working on the base case now.

    So...(x+y)0 , but how do I show that it equals x0 + y0??
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  2. #2
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    Quote Originally Posted by jzellt View Post
    I have to prove the distributive law (x+y)z = xz + yz using induction.

    I have fixed x,y in the Natural Numbers.
    Im working on the base case now.

    So...(x+y)0 , but how do I show that it equals x0 + y0??
    Can you put the exact problem on here word for word?
    (that will tell us more information on what you can work with.)
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  3. #3
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    Quote Originally Posted by jzellt View Post
    I have to prove the distributive law (x+y)z = xz + yz using induction.

    I have fixed x,y in the Natural Numbers.
    Im working on the base case now.

    So...(x+y)0 , but how do I show that it equals x0 + y0??
    Because 0 times anything is 0.
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    what Mush said. you can write something like (x + y)*0 = 0 = 0 + 0 = x*0 + y*0
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