Question
Add or subtract to simplify
(5x+x^2-4)-(4x-x^2+6)
(5x+x^2-4)-(4x-x^2+6)
Answers
GPT-4o mini
To simplify the expression \((5x + x^2 - 4) - (4x - x^2 + 6)\), we first need to distribute the negative sign across the second parentheses:
\[
(5x + x^2 - 4) - (4x - x^2 + 6) = 5x + x^2 - 4 - 4x + x^2 - 6
\]
Now, we can combine the like terms:
- For the \(x^2\) terms: \(x^2 + x^2 = 2x^2\)
- For the \(x\) terms: \(5x - 4x = 1x\)
- For the constant terms: \(-4 - 6 = -10\)
Putting it all together, we get:
\[
2x^2 + 1x - 10
\]
Thus, the simplified form of the expression is:
\[
\boxed{2x^2 + x - 10}
\]
\[
(5x + x^2 - 4) - (4x - x^2 + 6) = 5x + x^2 - 4 - 4x + x^2 - 6
\]
Now, we can combine the like terms:
- For the \(x^2\) terms: \(x^2 + x^2 = 2x^2\)
- For the \(x\) terms: \(5x - 4x = 1x\)
- For the constant terms: \(-4 - 6 = -10\)
Putting it all together, we get:
\[
2x^2 + 1x - 10
\]
Thus, the simplified form of the expression is:
\[
\boxed{2x^2 + x - 10}
\]