(2) \( r x-r y+t x-t y \)
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To start simplifying the expression \( 2) \, r x - r y + t x - t y \), you can group the like terms: \( (r x + t x) - (r y + t y) \). This gives you \( (r + t)x - (r + t)y \), which can be neatly written as \( (r + t)(x - y) \). This technique of combining like terms not only simplifies the expression but also highlights the relationship between the variables involved. Now, imagine using this simplified expression in a real-world scenario, like calculating profits and losses in a business context. If \( r \) and \( t \) represent different revenue streams, and \( x \) and \( y \) indicate quantities sold, the expression can help you determine how changes in quantity or revenue affect overall profit when comparing two products. Simplifying it gives clearer insights into your financial analysis!
