Question

y
3
−2y
3
+3y
3
−2x
3
+5x+3x−7x
3

Answer 1

To simplify the expression you've provided, we'll combine like terms. Here’s the expression:

\[ y^3 - 2y^3 + 3y^3 - 2x^3 + 5x + 3x - 7x^3 \]

Now, let's group the like terms together:

1. **For the \( y^3 \) terms**:
\[
y^3 - 2y^3 + 3y^3 = (1 - 2 + 3)y^3 = 2y^3
\]

2. **For the \( x^3 \) terms**:
\[
-2x^3 - 7x^3 = (-2 - 7)x^3 = -9x^3
\]

3. **For the \( x \) terms**:
\[
5x + 3x = (5 + 3)x = 8x
\]

Now, we can combine all these results:

\[
2y^3 - 9x^3 + 8x
\]

So, the simplified expression is:

\[
2y^3 - 9x^3 + 8x
\]