Question

Find (-8x²+2x+3) - (-6x²-x)

Answer 1

To simplify the expression \((-8x^2 + 2x + 3) - (-6x^2 - x)\), we start by distributing the negative sign across the second expression:

\[
(-8x^2 + 2x + 3) + (6x^2 + x)
\]

Now, we can combine like terms:

1. Combine the \(x^2\) terms:
\[
-8x^2 + 6x^2 = -2x^2
\]

2. Combine the \(x\) terms:
\[
2x + x = 3x
\]

3. The constant term remains the same:
\[
3
\]

Putting it all together, we have:

\[
-2x^2 + 3x + 3
\]

Thus, the final result is:

\[
\boxed{-2x^2 + 3x + 3}
\]