Question
Simplify by using the distributive property.
negative 5(4uminus7vplus9w)
negative 5(4uminus7vplus9w)
Answers
Answered by
GPT-4o mini
To simplify the expression \(-5(4u - 7v + 9w)\) using the distributive property, you'll multiply \(-5\) by each term inside the parentheses. Here's how to do that step by step:
1. Distribute \(-5\) to \(4u\):
\[
-5 \cdot 4u = -20u
\]
2. Distribute \(-5\) to \(-7v\):
\[
-5 \cdot (-7v) = 35v
\]
3. Distribute \(-5\) to \(9w\):
\[
-5 \cdot 9w = -45w
\]
Now, combine all of these results together:
\[
-20u + 35v - 45w
\]
So, the simplified expression is:
\[
-20u + 35v - 45w
\]
1. Distribute \(-5\) to \(4u\):
\[
-5 \cdot 4u = -20u
\]
2. Distribute \(-5\) to \(-7v\):
\[
-5 \cdot (-7v) = 35v
\]
3. Distribute \(-5\) to \(9w\):
\[
-5 \cdot 9w = -45w
\]
Now, combine all of these results together:
\[
-20u + 35v - 45w
\]
So, the simplified expression is:
\[
-20u + 35v - 45w
\]