Perform the operation.

Question

left parenthesis, minus, x, squared, minus, 4, x, minus, 3, right parenthesis, plus, left parenthesis, x, squared, plus, 5, x, plus, 7, right parenthesis
(−x
2
−4x−3)+(x
2
+5x+7)

Answer 1

To perform the operation \((−x^2 - 4x - 3) + (x^2 + 5x + 7)\), we will combine the like terms.

1. First, write down the expression with both parts clearly: \[ -x^2 - 4x - 3 + x^2 + 5x + 7 \]

2. Combine the \(x^2\) terms: \[ (-x^2 + x^2) = 0 \]

3. Combine the \(x\) terms: \[ (-4x + 5x) = 1x = x \]

4. Combine the constant terms: \[ (-3 + 7) = 4 \]

Putting it all together, we have: \[ 0 + x + 4 = x + 4 \]

Therefore, the result of the operation is: \[ \boxed{x + 4} \]