Pregunta
For each expression, simplify if possible. If applicable, click on "Cannot be simplified" \( \frac{6 v+5}{5 v+6}=\square \) \( \frac{v-7}{-7+v}=\square \)
Ask by Black Coleman. in the United States
Feb 26,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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The first expression cannot be simplified. The second expression simplifies to 1.
Solución
For the first expression:
(6v + 5) / (5v + 6) does not have any common factors, so it cannot be simplified further.
For the second expression:
(v - 7) / (-7 + v) is equivalent to (v - 7) / (v - 7), which simplifies to 1 (provided that v ≠ 7).
Thus, the simplified answers are:
(6v + 5) / (5v + 6) and 1.
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The first expression \( \frac{6v+5}{5v+6} \) cannot be simplified any further since the numerator and denominator do not share any common factors or terms to cancel out. So, it stays as \( \frac{6v+5}{5v+6} \). For the second expression \( \frac{v-7}{-7+v} \), you can rearrange the denominator: \( -7 + v \) is the same as \( v - 7 \). Thus, \( \frac{v-7}{-7+v} = \frac{v-7}{v-7} \), which simplifies to 1 (as long as \( v \neq 7 \)).
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