Pregunta
1. Expand to write an equivalent expression: \( -\frac{1}{2}(-2 x+4 y) \) Type the answer in the box below. 2. Factor to write an equivalent expression: \( 26 a-10 \) Type the answer in the box below
Ask by Kelly Dickson. in the United States
Mar 09,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
1. \( x - 2y \)
2. \( 2(13a - 5) \)
Solución
1. Expand to write an equivalent expression for \( -\frac{1}{2}(-2x+4y) \):
- Distribute the multiplication:
\[
-\frac{1}{2}(-2x) = x \quad \text{and} \quad -\frac{1}{2}(4y) = -2y
\]
- Thus, the expanded expression is:
\[
x-2y
\]
2. Factor to write an equivalent expression for \( 26a-10 \):
- Notice that both terms are even, so factor out the greatest common factor \(2\):
\[
26a-10 = 2(13a-5)
\]
The final answers are:
1. \( x-2y \)
2. \( 2(13a-5) \)
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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The Deep Dive
When you expand \( -\frac{1}{2}(-2x + 4y) \), you distribute the \( -\frac{1}{2} \) to each term inside the parentheses. This gives you \( x - 2y \). The negative signs cancel out, leaving you with a positive outcome! To factor \( 26a - 10 \), look for the greatest common factor in both terms. In this case, the GCF is 2. By factoring it out, you get \( 2(13a - 5) \). This simplified form makes it easier to handle in equations or further calculations!

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