The discussion focuses on simplifying the rational expression \(\frac{5x-5y-bx+by}{5x-5y+bx-by}\). The user struggles with factoring and canceling terms. Key factors identified include \(5(x-y)\) in the numerator and \(5(x-y)\) in the denominator, along with \((-b)(x-y)\) for the terms involving \(b\). The expression can be simplified by recognizing that \((x-y)\) is a common factor in both the numerator and the denominator.
PREREQUISITESStudents learning algebra, educators teaching rational expressions, and anyone seeking to improve their skills in algebraic simplification.