To simplify the expression \((8x^2 - 5x + 6) - (3x^2 + 7x - 11)\), follow these steps:
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Distribute the negative sign across the second expression: \[ (8x^2 - 5x + 6) - (3x^2 + 7x - 11) = 8x^2 - 5x + 6 - 3x^2 - 7x + 11 \]
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Combine like terms:
- Combine the \(x^2\) terms: \(8x^2 - 3x^2 = 5x^2\)
- Combine the \(x\) terms: \(-5x - 7x = -12x\)
- Combine the constant terms: \(6 + 11 = 17\)
Putting it all together, we get: \[ 5x^2 - 12x + 17 \]
Thus, the simplified expression is: \[ 5x^2 - 12x + 17 \]
If you need the answer in the format stated, it would be: \[ 5x^2 - 12x + 17 \] with values \(5\), \(-12\), and \(17\) in the corresponding parts of your answer template, respectively.