Perform the operation.

left parenthesis, minus, 4, x, squared, plus, 6, x, plus, 1, right parenthesis, plus, left parenthesis, 5, x, plus, 7, right parenthesis
(−4x
2
+6x+1)+(5x+7)

1 answer

To perform the operation \((-4x^2 + 6x + 1) + (5x + 7)\), we will combine like terms.

  1. Start by distributing and grouping the terms: \[ -4x^2 + 6x + 1 + 5x + 7 \]

  2. Combine the \(x\) terms: \[ 6x + 5x = 11x \]

  3. Combine the constant terms: \[ 1 + 7 = 8 \]

  4. Therefore, the expression can be rewritten as: \[ -4x^2 + 11x + 8 \]

Thus, the final result is: \[ -4x^2 + 11x + 8 \]