Question

Can the distributive property be used to rewrite 2x (9 - 6)

Answer 1

Yes, the distributive property can be used to rewrite the expression \(2x(9 - 6)\). The distributive property states that \(a(b - c) = ab - ac\).

In this case, you can apply the distributive property as follows:

\[
2x(9 - 6) = 2x \cdot 9 - 2x \cdot 6
\]

Now calculating the terms:

\[
= 18x - 12x
\]

Thus, using the distributive property, \(2x(9 - 6)\) can be rewritten as \(18x - 12x\). Alternatively, since \(9 - 6 = 3\), the expression can also be simplified directly:

\[
2x(9 - 6) = 2x \cdot 3 = 6x
\]

So, \(2x(9 - 6) = 6x\) directly as well.