Question:

Distributive Property? (2x+6)2y+3y?

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please help me

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  1. 2y(2x + 6) + 3y

    = 2y*2x + 2y*6 + 3y

    = 4xy + 12y + 3y

    = 4xy + 15y

    = y(4x + 15)


  2. 4xy + 12y + 3y

    4xy + 15y

  3. Let's think of the problem as :

    3y+2y ( 2x+6) <--- I know that we can do this because addition is commutative

    so:

    3y+ 4xy+12y

    *combine like terms:

    15y+ 4xy


  4. 2x * 2y + 6*2y + 3y

    4xy + 12y + 3y

    4xy + 15y

  5. (2x+6)2y+3y

    4xy + 12y + 3y

    4xy + 15y <--- answer

  6. (2x+6)2y+3y

    4xy + 12y + 3y

    4xy + 15y

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