Question
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(1) \( 46 \pi+(-72 \pi) \)

Ask by Dickson O'Quinn. in Colombia
Mar 12,2025

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Tutor-Verified Answer

Answer

La respuesta es \(-26\pi\).

Solution

1. Expresar la suma: \[ 46\pi + (-72\pi) \] 2. Agrupar los coeficientes del mismo factor \(\pi\): \[ (46 - 72)\pi \] 3. Realizar la resta: \[ -26\pi \] La respuesta es: \[ -26\pi \]

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Bonus Knowledge

Let's simplify that expression! When you combine \( 46\pi \) and \( -72\pi \), you can add the coefficients together while keeping \(\pi\) as is. So, \( 46 + (-72) = 46 - 72 = -26\). Therefore, the expression simplifies to \( -26\pi \). In mathematical terms, think of \(\pi\) as a common flavor in your mathematical smoothie! When you mix \( 46\) of one flavor and \( -72\) of another, you're left with a delightful \( -26\) of that same flavor, albeit with a tangy twist of being negative.

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