Use the Distributive Property to expand the expression. -3(2x-y)

To expand the expression \(-3(2x - y)\) using the distributive property, follow these steps:

The distributive property states that \(a(b + c) = ab + ac\). Applying this to \(-3(2x - y)\):

\[
-3(2x - y) = -3 \cdot 2x + (-3) \cdot (-y)
\]

Now, calculate each term:

1. \(-3 \cdot 2x = -6x\)
2. \(-3 \cdot (-y) = 3y\) (remember that a negative times a negative is a positive)

So, the expanded expression is:

\[
-6x + 3y
\]

Would you like more details or have any questions?

Here are some related questions:
1. What is the distributive property in algebra?
2. How does the distributive property handle different signs (positive and negative)?
3. Can you use the distributive property to expand expressions with more than two terms?
4. How do you factor an expression like \(-6x + 3y\)?
5. What happens if both terms inside the parentheses are negative?
6. How is the distributive property related to the order of operations?
7. How does the distributive property apply to expressions with variables on both sides?
8. Can the distributive property be used to simplify more complex algebraic expressions?

**Tip:** When expanding expressions, always pay close attention to the signs, especially when dealing with negative coefficients!

Learn how to expand the expression -3(2x - y) using the distributive property with a detailed step-by-step solution. This problem covers key algebraic concepts including the distributive property in algebra. Suitable for students in Grades 7-9.

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