Perform the operation.

Question

left parenthesis, minus, 8, x, squared, minus, 5, x, plus, 8, right parenthesis, minus, left parenthesis, minus, 6, x, squared, plus, 3, x, minus, 3, right parenthesis
(−8x
2
−5x+8)−(−6x
2
+3x−3)

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

Answer 1

Let's perform the operation as outlined in your request:

Given operation:

\[ (-8x^2 - 5x + 8) - (-6x^2 + 3x - 3) \]

Step 1: Rewrite the expression:

Distribute the negative sign:

\[ -8x^2 - 5x + 8 + 6x^2 - 3x + 3 \]

Step 2: Combine like terms:

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

2. Combine the \(x\) terms: \[ -5x - 3x = -8x \]

3. Combine the constant terms: \[ 8 + 3 = 11 \]

Final result:

Putting it all together, we combine the like terms:

\[ -2x^2 - 8x + 11 \]

Thus, the final simplified expression is:

\[ -2x^2 - 8x + 11 \]