Question

Simply (4x3y + 5xy2 − 2xy) + (6x3y − 9xy2 + 3xy).

10x3y − 4xy2 + xy
10x3y + 4xy2 + xy
10x3y − 4xy2 + 5xy
10x3y + 4xy2 + 5xy

Answer 1

To simplify the expression \((4x^3y + 5xy^2 - 2xy) + (6x^3y - 9xy^2 + 3xy)\), we can combine like terms.

1. **Identify like terms**:
- Terms with \(x^3y\): \(4x^3y\) and \(6x^3y\)
- Terms with \(xy^2\): \(5xy^2\) and \(-9xy^2\)
- Terms with \(xy\): \(-2xy\) and \(3xy\)

2. **Combine like terms**:
- For \(x^3y\):
\[
4x^3y + 6x^3y = 10x^3y
\]

- For \(xy^2\):
\[
5xy^2 - 9xy^2 = -4xy^2
\]

- For \(xy\):
\[
-2xy + 3xy = xy
\]

3. **Put it all together**:
\[
10x^3y - 4xy^2 + xy
\]

Thus, the simplified expression is \(10x^3y - 4xy^2 + xy\).

**The correct answer is:**
\(10x^3y - 4xy^2 + xy\)