Question

Use the distributive property to simplify -5(2x - 3y + 6z -10)

Answer 1

To simplify the expression \(-5(2x - 3y + 6z - 10)\) using the distributive property, you will multiply each term inside the parentheses by \(-5\).

Here’s the step-by-step simplification:

1. Distribute \(-5\) to \(2x\):
\[
-5 \cdot 2x = -10x
\]

2. Distribute \(-5\) to \(-3y\):
\[
-5 \cdot (-3y) = 15y
\]

3. Distribute \(-5\) to \(6z\):
\[
-5 \cdot 6z = -30z
\]

4. Distribute \(-5\) to \(-10\):
\[
-5 \cdot (-10) = 50
\]

Now, combine all the results:
\[
-10x + 15y - 30z + 50
\]

Thus, the simplified expression is:
\[
-10x + 15y - 30z + 50
\]