Question:

What do you get when you multiply 3x / y with y + 1 / x ?

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does that somehow simplify to 3 + 3/y ?

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  1. well 3x/y + y+1/x

    the y's cancel

    3x + 1/x  


  2. 3x/y * (y+1)/x = (3xy+3x)/xy = x(3y+3)/xy = (3y+3)/y = 3 + 3/y

    choose one

  3. [ 3x / y ] * [ (y + 1) / x ] =

    [ 3x (y + 1) ] / [ xy ] =

    [ 3 (y + 1) ] / [ y ] =

    [ 3y + 3 ] / [ y ] =

    [ (3y) / y ] + [ 3 / y ] =

    3 + (3/y)

  4. (3x/y)[(y + 1)/x] = 3(y + 1)/y

    Hope this helps!
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