Question

Expand the expression −3(−2ab+5c) using the Distributive Property.

Answer 1

To expand the expression −3(−2ab+5c), we apply the distributive property and multiply each term inside the parentheses by −3, resulting in the expanded form 6ab − 15c.

Step-by-step explanation:

To expand the expression −3(−2ab+5c) using the Distributive Property, we need to multiply each term inside the parentheses by −3. The distributive property tells us that −a(b+c) = −ab − ac.

Applying this to our expression:

−3(−2ab) = 6ab (−3 times −2ab is 6ab)

−3(5c) = −15c (−3 times 5c is −15c)

Now, combining these two products we get the expanded form:

6ab − 15c

This is the expanded form of the given expression using the distributive property.

Answer 2

The expression −3(−2ab+5c) is expanded using the Distributive Property to +6ab - 15c by multiplying each term inside the parenthesis by −3.

Step-by-step explanation:

To expand the expression −3(−2ab+5c) using the Distributive Property, we must apply the property which states that we multiply the term outside the parenthesis by each term inside the parenthesis. Here's the process:

Multiply −3 by −2ab to get +6ab.

Multiply −3 by +5c to get −15c.

The expanded expression is thus +6ab − 15c.