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\( \operatorname { tp } ( 2 a - 3 ) - ( 2 a - 3 b ) \)

Ask by Vargas Stewart. in South Africa
Jan 23,2025

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The simplified expression is \(3(b - 1)\).

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Bonus Knowledge

Let's break it down: the expression can be simplified by distributing the transformation. The first part, \( \operatorname{tp}(2a - 3) \), suggests applying a transformation, typically translating or scaling. In the second part, you see a subtraction where \(2a\) remains, but \(3b\) appears instead of \(-3\). This could represent an algebraic or geometric transformation. So, let’s combine like terms, transforming how we look at linear relationships between \(a\) and \(b\). Now, when working with these algebraic transformations, one common mistake is forgetting to distribute or combine terms accurately. Always double-check your operations. If you tend to get stuck, drawing a diagram or using concrete values for \(a\) and \(b\) might help visualize the relationships better. That way, you can see how the transformations play out more clearly!

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