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Subtract: -x^(2) + 10x - 5 "from" 5x -...

Subtract:
`-x^(2) + 10x - 5 "from" 5x -10`

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To solve the problem of subtracting \(-x^2 + 10x - 5\) from \(5x - 10\), we will follow these steps: ### Step-by-Step Solution: 1. **Identify the expressions**: We need to subtract the expression \(-x^2 + 10x - 5\) from \(5x - 10\). This can be written as: \[ (5x - 10) - (-x^2 + 10x - 5) \] 2. **Distribute the negative sign**: When we subtract the second expression, we need to distribute the negative sign across all terms in \(-x^2 + 10x - 5\): \[ 5x - 10 + x^2 - 10x + 5 \] 3. **Combine like terms**: Now, we will combine the like terms. The like terms are: - The \(x^2\) term: \(x^2\) - The \(x\) terms: \(5x - 10x = -5x\) - The constant terms: \(-10 + 5 = -5\) Putting it all together, we get: \[ x^2 - 5x - 5 \] 4. **Final answer**: Therefore, the result of the subtraction is: \[ x^2 - 5x - 5 \]
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