Question

Use the Distributive Property to expand −6(3y−7z) .

Answer 1

To expand −6(3y−7z) using the Distributive Property, multiply −6 by each term inside the parentheses to get −18y + 42z. There are no like terms to combine, and the result appears correct after checking the calculations.

Step-by-step explanation:

To use the Distributive Property to expand −6(3y−7z), you need to multiply each term inside the parentheses by −6. Here is how it's done:

1. Multiply −6 by 3y to get −18y.
2. Multiply −6 by −7z to get +42z.
3. Combine these two results to get the expanded form.

The final expanded form is −18y + 42z.

You can eliminate terms wherever possible to simplify the algebra, but in this case, there are no like terms to combine. To check the answer, ensure that the multiplication was done correctly and the signs were applied correctly.

−18y + 42z appears to be the correct expansion of the original expression using the Distributive Property.