emmanuel180
emmanuel180
02.07.2019 • 
Mathematics

Micah was asked to add the following rational expressions:  \frac{ {3x}^{2} - x - 9}{ {x}^{2} + 3x + 2 } + \frac{ { - 2x}^{2} + 2x + 5 }{ {x }^{2} + 3x + 2? } first, he combined like terms in the numerator and kept the common denominator. \frac{ { x}^{2} + x - 4 }{ {x}^{2} + 3x + 2} next, he simplified the expression by canceling x^2 because they are "like terms". his final simplified answer was :  \frac{x - 4}{3x + 2? } did micah add the expressions correctly? explain your answer in complete sentences.

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