Question

Simplify the expression: (5x3−2x4)+(4x4−5x3)


(1 point)
Responses

x4
x to the 4th power

2x4
2 x to the 4th power

x4−5x3
x to the 4th power minus 5 x cubed

−5x3

Answer 1

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

Here's the step-by-step simplification:

1. Distribute and rearrange:
\[
5x^3 - 2x^4 + 4x^4 - 5x^3
\]

2. Combine like terms:
- For \(x^3\):
\[
5x^3 - 5x^3 = 0
\]
- For \(x^4\):
\[
-2x^4 + 4x^4 = 2x^4
\]

So, the expression simplifies to:
\[
2x^4
\]

The correct response is:
**2 x to the 4th power**.