Question

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

Answer 1

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.