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?

Answer 1

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!