In general, to add/subtract two rational expressions: If the denominators of two rational expressions are already the same, then we can add/subtract their numerators directly. To add/subtract rational expressions, first rewrite the fractions with a common denominator. Thus, the simplest form is (y + 2) / (2y + 3), where y ≠ 0, -3/2.Īdding and Subtracting Rational Expressions Note that we shouldn't use the denominator of the simplest form while calculating the restrictions. To find the restrictions, set the original denominator ≠ 0 and solve. To simplify the given expression, we just factorize the numerator and denominator and cancel the common terms. Note that the restrictions are any values that make the denominator equal to 0, including any canceled terms while simplifying.Įxample: Simplify the rational expression (3y 2 + 6y) / (6y 2 + 9y).
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