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Answer
The equation \(k^{3}+k^{3}=2k^{3}\) is true for all real numbers \(k\).
Solution
Solve the equation \( k^{3}+k^{3}=2k^{3} \).
Solve the equation by following steps:
- step0: Solve for \(k\):
\(k^{3}+k^{3}=2k^{3}\)
- step1: Add the terms:
\(2k^{3}=2k^{3}\)
- step2: The statement is true:
\(k \in \mathbb{R}\)
The solution to the equation \(k^{3}+k^{3}=2k^{3}\) is all real numbers. This means that the equation is true for any value of \(k\).
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Simplify this solution The Deep Dive
Did you know that the equation \( k^{3}+k^{3}=2 k^{3} \) is a simple yet powerful expression of algebraic properties? It illustrates how combining like terms works beautifully in math! This fundamental principle is essential in various areas of algebra, making it the cornerstone of simplifying expressions and solving equations. In real-world scenarios, simplifying expressions like this can help in budgeting; for instance, if you earn \( k^3 \) dollars from one job and another \( k^3 \) dollars from a side gig, you can quickly determine that your total income is \( 2k^3 \). This demonstrates how mathematical operations can be applied to manage finances effectively!
