Find the sum of minus, 8, x, minus, 3−8x−3 and minus, 7, x, squared, plus, 2, x, plus, 4−7x

2
+2x+4.

Solve the problem just like the example below
⬇️
Perform the operation.
left parenthesis, x, plus, 9, right parenthesis, plus, left parenthesis, 3, x, squared, plus, 4, x, minus, 2, right parenthesis

(x+9)+(3x
2
+4x−2)
x, plus, 9, plus, 3, x, squared, plus, 4, x, minus, 2
x+9+3x
2
+4x−2

Combine like terms: 3, x, squared, plus, 5, x, plus, 7
3x
2
+5x+7

1 answer

To find the sum of \(-8x - 3\) and \(-7x^2 + 2x + 4\), we'll perform the operation as follows:

  1. Write out the expression: \[ (-8x - 3) + (-7x^2 + 2x + 4) \]

  2. Rearranging and grouping all terms together: \[ -8x - 3 - 7x^2 + 2x + 4 \]

  3. Now, we can combine like terms:

    • For \(x\) terms: \(-8x + 2x = -6x\)
    • For constant terms: \(-3 + 4 = 1\)
    • The \(x^2\) term: \(-7x^2\) (only one term)
  4. Combine all these results: \[ -7x^2 - 6x + 1 \]

So, the final result is: \[ -7x^2 - 6x + 1 \]