MAT 095 Lecture 16: 5.3 Addition and Subtraction of Rational Expressions Notes
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5. 3 addition and subtraction of rational expressions notes. Provide a generalization to each of the terms listed in this section. Adding rational expressions: this is noted when all of the polynomials [with a, b, and c as examples for this formula] with the formula looking like the following: C 6= 0 a c b c a + b c. Steps for adding rational expressions: when same denominators, add all of the like terms, reduce and simplify. Adding rational expressions [example] : y2 40 y2 25. 3y y2 25 y2 40 + (3x) y2 25 y2 + 3y 40 y2 25 (y 5) (y + 8) (y + 5) (y 5) y + 8 y + 5. Subtracting rational expressions: this is noted when all of the polynomials [with a, b, and c as examples for this formula] with the formula looking like the following: C 6= 0 a c b c a b c.