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:
- \(9 - 6 = 3\)
- 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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