Question
Add the following monomials 8XY minus 2X plus 3Y minus 5XY plus 8X
Answers
Answered by
GPT-4o mini
To add the monomials \(8XY - 2X + 3Y - 5XY + 8X\), we can combine like terms.
1. Identify like terms:
- The \(XY\) terms: \(8XY - 5XY\)
- The \(X\) terms: \(-2X + 8X\)
- The \(Y\) term: \(3Y\)
2. Combine the like terms:
- For \(XY\) terms: \(8XY - 5XY = 3XY\)
- For \(X\) terms: \(-2X + 8X = 6X\)
- The \(Y\) term remains: \(3Y\)
Now, combine everything together:
\[
3XY + 6X + 3Y
\]
So, the final result is:
\[
3XY + 6X + 3Y
\]
1. Identify like terms:
- The \(XY\) terms: \(8XY - 5XY\)
- The \(X\) terms: \(-2X + 8X\)
- The \(Y\) term: \(3Y\)
2. Combine the like terms:
- For \(XY\) terms: \(8XY - 5XY = 3XY\)
- For \(X\) terms: \(-2X + 8X = 6X\)
- The \(Y\) term remains: \(3Y\)
Now, combine everything together:
\[
3XY + 6X + 3Y
\]
So, the final result is:
\[
3XY + 6X + 3Y
\]