Question

Which expressions are equivalent to 5x-8x+12y? Choose three

Answer 1

To find expressions that are equivalent to \(5x - 8x + 12y\), we can first simplify the original expression.

1. Combine like terms:
\[
5x - 8x = -3x
\]
So, \(5x - 8x + 12y\) simplifies to:
\[
-3x + 12y
\]

Now, we can find three equivalent expressions. Here are some possibilities:

1. **Distributing a negative factor:**
\[
-3x + 12y = -(3x - 12y)
\]

2. **Factoring out a common factor:**
\[
-3x + 12y = -3(x - 4y)
\]

3. **Rearranging the terms:**
\[
12y - 3x
\]

Therefore, three equivalent expressions to \(5x - 8x + 12y\) are:
1. \(-3x + 12y\) (the simplified form)
2. \(12y - 3x\) (rearranged)
3. \(-3(x - 4y)\) (factored)

Any combination of these different forms can be considered equivalent expressions.