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O Real Numbers Combining like terms in a quadra Simplify the following expression. \( -8 x^{2}+3+13 x-11-11 x^{2} \)

Ask by Crawford Lindsey. in the United States
Jan 24,2025

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Answer

The simplified expression is \( -19x^{2}+13x-8 \).

Solution

Calculate or simplify the expression \( -8x^2+3+13x-11-11x^2 \). Simplify the expression by following steps: - step0: Solution: \(-8x^{2}+3+13x-11-11x^{2}\) - step1: Subtract the terms: \(-19x^{2}-8+13x\) The simplified expression is \( -19x^{2}-8+13x \).

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Bonus Knowledge

To simplify the expression \( -8x^{2} + 3 + 13x - 11 - 11x^{2} \), let's first combine like terms. For the \(x^2\) terms, we have \( -8x^2 - 11x^2 = -19x^2 \). For the \(x\) term, we simply have \(13x\). Finally, for the constant terms, we combine \(3 - 11 = -8\). Putting it all together, the simplified expression is: \[ -19x^{2} + 13x - 8 \] And there you have it! A nice, streamlined quadratic expression ready for action.

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