Asked by Gelo
Find (-x²-3x+5) - (6x²-1).
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Answered by
GPT-4o mini
To simplify the expression \((-x^2 - 3x + 5) - (6x^2 - 1)\), we will first distribute the negative sign across the second parenthesis:
\[
(-x^2 - 3x + 5) - (6x^2 - 1) = -x^2 - 3x + 5 - 6x^2 + 1
\]
Next, we combine like terms. We will combine the \(x^2\) terms, the \(x\) terms, and the constant terms separately:
1. Combine \(x^2\) terms:
\(-x^2 - 6x^2 = -7x^2\)
2. Combine \(x\) terms:
\(-3x\)
3. Combine constant terms:
\(5 + 1 = 6\)
Putting it all together, we have:
\[
-7x^2 - 3x + 6
\]
Thus, the simplified expression is:
\[
\boxed{-7x^2 - 3x + 6}
\]
\[
(-x^2 - 3x + 5) - (6x^2 - 1) = -x^2 - 3x + 5 - 6x^2 + 1
\]
Next, we combine like terms. We will combine the \(x^2\) terms, the \(x\) terms, and the constant terms separately:
1. Combine \(x^2\) terms:
\(-x^2 - 6x^2 = -7x^2\)
2. Combine \(x\) terms:
\(-3x\)
3. Combine constant terms:
\(5 + 1 = 6\)
Putting it all together, we have:
\[
-7x^2 - 3x + 6
\]
Thus, the simplified expression is:
\[
\boxed{-7x^2 - 3x + 6}
\]
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