Pregunta
2. Simplify completely. \( \left(-a^{2}-5 a+3\right)-\left(a^{2}+3 a-2\right) \)
Ask by Clark Johnston. in the United States
Feb 25,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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The simplified expression is \( -2a^{2}-8a+5 \).
Solución
Calculate or simplify the expression \( (-a^2-5a+3)-(a^2+3a-2) \).
Simplify the expression by following steps:
- step0: Solution:
\(\left(-a^{2}-5a+3\right)-\left(a^{2}+3a-2\right)\)
- step1: Remove the parentheses:
\(-a^{2}-5a+3-\left(a^{2}+3a-2\right)\)
- step2: Remove the parentheses:
\(-a^{2}-5a+3-a^{2}-3a+2\)
- step3: Subtract the terms:
\(-2a^{2}-8a+5\)
The simplified expression is \( -2a^{2}-8a+5 \).
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Simplifique esta solución Mind Expander
To simplify the expression \(\left(-a^{2}-5 a+3\right)-\left(a^{2}+3 a-2\right)\), start by distributing the negative sign across the second set of parentheses: \[ -a^{2} - 5a + 3 - a^{2} - 3a + 2 \] Now, combine like terms: \[ (-a^{2} - a^{2}) + (-5a - 3a) + (3 + 2) = -2a^{2} - 8a + 5 \] So the completely simplified expression is: \[ -2a^{2} - 8a + 5 \]
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