Question
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
Real Tutor Solution
Tutor-Verified Answer
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.