Question

Rewriting subtraction using addition can be helpful to keep track of the subtraction symbol when distributing. Start by rewriting this expression using addition.
3(−3y−3x+7)
= 3(
+
+
)

Answer 1

To rewrite the given expression \( 3(-3y - 3x + 7) \) using addition, you can change each subtraction to addition by factoring out the negative sign. Here's how it looks:

\[
3(-3y - 3x + 7) = 3(-1)(3y + 3x - 7)
\]

Now, we can distribute the \( -1 \) and rewrite the expression:

\[
= 3(0 + (-3y) + (-3x) + 7)
\]

Thus, the original expression becomes:

\[
3( -3y + (-3x) + 7 )
\]

In terms of explicit placeholders, we can say:

\[
= 3( \underline{-3y} + \underline{-3x} + \underline{7} )
\]

So you can fill in the blanks as:

\[
= 3( \underline{-3y} + \underline{-3x} + \underline{7} )
\]