Given the expression 2x2+4x2x2−8⋅x2−2x+1x2−1%0D%0A2%0D%0A𝑥%0D%0A2%0D%0A+%0D%0A4%0D%0A𝑥%0D%0A2%0D%0A𝑥%0D%0A2%0D%0A−%0D%0A8%0D%0A⋅%0D%0A𝑥%0D%0A2%0D%0A−%0D%0A2%0D%0A𝑥%0D%0A+%0D%0A1%0D%0A𝑥%0D%0A2%0D%0A−%0D%0A1%0D%0A, which option is the correct simplification?

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

Given the expression you've provided, it appears to be formatted in a way that may be difficult to interpret clearly. However, I'll assume it has several common mathematical components based on the repetition of "2x^2" and other terms, and I'll help you simplify it.

The expression seems to be:

\[
2x^2 + 4x^2 - 8x - 2x + 1 - 1
\]

Let's simplify it step by step.

1. **Combine like terms**:
- Combine the \(x^2\) terms:
\[
2x^2 + 4x^2 = 6x^2
\]
- Combine the \(x\) terms:
\[
-8x - 2x = -10x
\]
- Combine the constant terms:
\[
1 - 1 = 0
\]

Putting it all together, the expression simplifies to:

\[
6x^2 - 10x
\]

If you want to factor it further:
\[
2(3x^2 - 5x)
\]

So the simplified expression is \(6x^2 - 10x\) or \(2(3x^2 - 5x)\). Please check if your original expression aligns with this interpretation or clarify if there are additional elements that I might have missed!