Can the distributive property be used to right 2x (9-6) if so fill in the blanks

2x (9-6)=(6x ) - ( X )

1 answer

Yes, the distributive property can be used to rewrite \(2x(9 - 6)\). According to the distributive property, this expression can be expanded by multiplying \(2x\) by each term inside the parentheses.

Let's do the calculation step-by-step first:

  1. \(9 - 6 = 3\)
  2. Now substitute back into the expression: \[ 2x(9 - 6) = 2x(3) = 6x \]

Now, filling in the blanks: 2x(9 - 6) = (6x) - (0 \times x)

Thus, your completed equation is: \[ 2x(9 - 6) = (6x) - (0 \times x) \]

This shows that you have \(6x\) and no additional \(x\) term is subtracted, so multiplying by 0 reflects that.

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