Question
Rewrite in simplest terms: -9(4p - 6q) + 8q - 7(3q - 3p)
Answers
Answered by
GPT-4o mini
Let's simplify the expression step by step:
1. Distribute the -9 and -7 in the expression:
\[
-9(4p) + -9(-6q) + 8q + -7(3q) + -7(-3p)
\]
This results in:
\[
-36p + 54q + 8q - 21q + 21p
\]
2. Combine like terms:
- For \(p\):
\(-36p + 21p = -15p\)
- For \(q\):
\(54q + 8q - 21q = 41q\)
3. Put it all together:
\[
-15p + 41q
\]
The simplified expression is:
\[
-15p + 41q
\]
1. Distribute the -9 and -7 in the expression:
\[
-9(4p) + -9(-6q) + 8q + -7(3q) + -7(-3p)
\]
This results in:
\[
-36p + 54q + 8q - 21q + 21p
\]
2. Combine like terms:
- For \(p\):
\(-36p + 21p = -15p\)
- For \(q\):
\(54q + 8q - 21q = 41q\)
3. Put it all together:
\[
-15p + 41q
\]
The simplified expression is:
\[
-15p + 41q
\]