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- https://math.libretexts.org/Courses/Las_Positas_College/Foundational_Mathematics/15%3A_Rational_Expressions/15.04%3A_Simplify_Complex_Rational_ExpressionsRewrite as the product of first times the reciprocal of the second.Rewrite as the product of first times the reciprocal of the second.Rewrite as the product of first times the reciprocal of the second...Rewrite as the product of first times the reciprocal of the second.Rewrite as the product of first times the reciprocal of the second.Rewrite as the product of first times the reciprocal of the second. Simplify the complex rational expression by using the LCD: \[\dfrac{\dfrac{1}{x}+\dfrac{1}{y}}{\dfrac{x}{y}-\dfrac{y}{x}} \nonumber \] Simplify the complex rational expression by using the LCD: \[\dfrac{\dfrac{1}{x^{2}}-\dfrac{1}{y^{2}}}{\dfrac{1}{x}+\dfrac{1}{y}} \nonumber \]
- https://math.libretexts.org/Courses/City_University_of_New_York/MAT1275_Basic/05%3A_Rational_Expressions/5.03%3A_Simplify_Complex_Rational_ExpressionsSimplify the complex rational expression by using the LCD: \[\dfrac{\dfrac{1}{x^{2}}-\dfrac{1}{y^{2}}}{\dfrac{1}{x}+\dfrac{1}{y}}. \nonumber \] Efraim wants to start simplifying the complex fraction \...Simplify the complex rational expression by using the LCD: \[\dfrac{\dfrac{1}{x^{2}}-\dfrac{1}{y^{2}}}{\dfrac{1}{x}+\dfrac{1}{y}}. \nonumber \] Efraim wants to start simplifying the complex fraction \(\dfrac{\dfrac{1}{a}+\dfrac{1}{b}}{\dfrac{1}{a}-\dfrac{1}{b}}\) by cancelling the variables from the numerator and denominator, \(\dfrac{\dfrac{1}{\cancel{a}}+\dfrac{1}{\cancel {b}}}{\dfrac{1}{\cancel{a}}-\dfrac{1}{\cancel{b}}}\).
- https://math.libretexts.org/Courses/Coastline_College/Math_C097%3A_Support_for_Precalculus_Corequisite%3A_MATH_C170/1.02%3A_Algebra_Support/1.2.15%3A_Simplifying_Complex_Rational_Expressions\[\dfrac{\dfrac{4}{y-3}}{\dfrac{8}{y^{2}-9}} \quad \quad \dfrac{\dfrac{1}{x}+\dfrac{1}{y}}{\dfrac{x}{y}-\dfrac{y}{x}} \quad \quad \dfrac{\dfrac{2}{x+6}}{\dfrac{4}{x-6}-\dfrac{4}{x^{2}-36}} \nonumber \...\[\dfrac{\dfrac{4}{y-3}}{\dfrac{8}{y^{2}-9}} \quad \quad \dfrac{\dfrac{1}{x}+\dfrac{1}{y}}{\dfrac{x}{y}-\dfrac{y}{x}} \quad \quad \dfrac{\dfrac{2}{x+6}}{\dfrac{4}{x-6}-\dfrac{4}{x^{2}-36}} \nonumber \] Rewrite as the product of first times the reciprocal of the second.Rewrite as the product of first times the reciprocal of the second.Rewrite as the product of first times the reciprocal of the second.
- https://math.libretexts.org/Workbench/Intermediate_Algebra_2e_(OpenStax)/07%3A_Rational_Expressions_and_Functions/7.04%3A_Simplify_Complex_Rational_Expressions4 y − 3 8 y 2 − 9 1 x + 1 y x y − y x 2 x + 6 4 x − 6 − 4 x 2 − 36 4 y − 3 8 y 2 − 9 1 x + 1 y x y − y x 2 x + 6 4 x − 6 − 4 x 2 − 36 6 x 2 − 7 x + 2 4 x − 8 2 x 2 − 8 x + 3 x 2 − 5 x + 6 6 x 2 − 7 x ...4 y − 3 8 y 2 − 9 1 x + 1 y x y − y x 2 x + 6 4 x − 6 − 4 x 2 − 36 4 y − 3 8 y 2 − 9 1 x + 1 y x y − y x 2 x + 6 4 x − 6 − 4 x 2 − 36 6 x 2 − 7 x + 2 4 x − 8 2 x 2 − 8 x + 3 x 2 − 5 x + 6 6 x 2 − 7 x + 2 4 x − 8 2 x 2 − 8 x + 3 x 2 − 5 x + 6 ( 6 x 2 − 7 x + 2 4 x − 8 ) ÷ ( 2 x 2 − 8 x + 3 x 2 − 5 x + 6 ) . ( 6 x 2 − 7 x + 2 4 x − 8 ) ÷ ( 2 x 2 − 8 x + 3 x 2 − 5 x + 6 ) . Simplify the complex rational expression by using the LCD: 1 x + 1 y x y − y x . 1 x + 1 y x y − y x .
- https://math.libretexts.org/Courses/Cosumnes_River_College/Corequisite_Codex/04%3A_Simplifying_Expressions/4.09%3A_Simplifying_Compound_Rational_ExpressionsRewrite as the product of first times the reciprocal of the second.Rewrite as the product of first times the reciprocal of the second.Rewrite as the product of first times the reciprocal of the second...Rewrite as the product of first times the reciprocal of the second.Rewrite as the product of first times the reciprocal of the second.Rewrite as the product of first times the reciprocal of the second. Simplify the complex rational expression by using the LCD: \[\dfrac{\dfrac{1}{x}+\dfrac{1}{y}}{\dfrac{x}{y}-\dfrac{y}{x}} \nonumber \] Simplify the complex rational expression by using the LCD: \[\dfrac{\dfrac{1}{x^{2}}-\dfrac{1}{y^{2}}}{\dfrac{1}{x}+\dfrac{1}{y}} \nonumber \]
- https://math.libretexts.org/Courses/Borough_of_Manhattan_Community_College/MAT_206.5/Chapter_4A%3A_Algebra_Topics/4A.08%3A_Simplify_Complex_Rational_ExpressionsRewrite as the product of first times the reciprocal of the second.Rewrite as the product of first times the reciprocal of the second.Rewrite as the product of first times the reciprocal of the second...Rewrite as the product of first times the reciprocal of the second.Rewrite as the product of first times the reciprocal of the second.Rewrite as the product of first times the reciprocal of the second. Simplify the complex rational expression by using the LCD: \[\dfrac{\dfrac{1}{x}+\dfrac{1}{y}}{\dfrac{x}{y}-\dfrac{y}{x}} \nonumber \] Simplify the complex rational expression by using the LCD: \[\dfrac{\dfrac{1}{x^{2}}-\dfrac{1}{y^{2}}}{\dfrac{1}{x}+\dfrac{1}{y}} \nonumber \]
- https://math.libretexts.org/Courses/Highline_College/MATHP_141%3A_Corequisite_Precalculus/02%3A_Algebra_Support/2.15%3A_Simplifying_Complex_Rational_Expressions\[\dfrac{\dfrac{4}{y-3}}{\dfrac{8}{y^{2}-9}} \quad \quad \dfrac{\dfrac{1}{x}+\dfrac{1}{y}}{\dfrac{x}{y}-\dfrac{y}{x}} \quad \quad \dfrac{\dfrac{2}{x+6}}{\dfrac{4}{x-6}-\dfrac{4}{x^{2}-36}} \nonumber \...\[\dfrac{\dfrac{4}{y-3}}{\dfrac{8}{y^{2}-9}} \quad \quad \dfrac{\dfrac{1}{x}+\dfrac{1}{y}}{\dfrac{x}{y}-\dfrac{y}{x}} \quad \quad \dfrac{\dfrac{2}{x+6}}{\dfrac{4}{x-6}-\dfrac{4}{x^{2}-36}} \nonumber \] Rewrite as the product of first times the reciprocal of the second.Rewrite as the product of first times the reciprocal of the second.Rewrite as the product of first times the reciprocal of the second.
- https://math.libretexts.org/Courses/Coastline_College/Math_C045%3A_Beginning_and_Intermediate_Algebra_(Tran)/09%3A_Rational_Expressions_and_Functions/9.04%3A_Simplify_Complex_Rational_ExpressionsRewrite as the product of first times the reciprocal of the second.Rewrite as the product of first times the reciprocal of the second.Rewrite as the product of first times the reciprocal of the second...Rewrite as the product of first times the reciprocal of the second.Rewrite as the product of first times the reciprocal of the second.Rewrite as the product of first times the reciprocal of the second. Simplify the complex rational expression by using the LCD: \[\dfrac{\dfrac{1}{x}+\dfrac{1}{y}}{\dfrac{x}{y}-\dfrac{y}{x}} \nonumber \] Simplify the complex rational expression by using the LCD: \[\dfrac{\dfrac{1}{x^{2}}-\dfrac{1}{y^{2}}}{\dfrac{1}{x}+\dfrac{1}{y}} \nonumber \]
- https://math.libretexts.org/Courses/City_University_of_New_York/College_Algebra_and_Trigonometry-_Expressions_Equations_and_Graphs/01%3A_Expressions/1.03%3A_Rational_Expressions/1.3.04%3A_Complex_Rational_ExpressionsSimplify the complex rational expression by writing it as division: \[\dfrac{\dfrac{1}{x}+\dfrac{1}{y}}{\dfrac{1}{x}-\dfrac{1}{y}}. \nonumber \] Simplify the complex rational expression by using the L...Simplify the complex rational expression by writing it as division: \[\dfrac{\dfrac{1}{x}+\dfrac{1}{y}}{\dfrac{1}{x}-\dfrac{1}{y}}. \nonumber \] Simplify the complex rational expression by using the LCD: \[\dfrac{\dfrac{1}{x}+\dfrac{1}{y}}{\dfrac{x}{y}-\dfrac{y}{x}}. \nonumber \] Simplify the complex rational expression by using the LCD: \[\dfrac{\dfrac{1}{x^{2}}-\dfrac{1}{y^{2}}}{\dfrac{1}{x}+\dfrac{1}{y}}. \nonumber \]
- https://math.libretexts.org/Courses/Highline_College/Math_098%3A_Intermediate_Algebra_for_Calculus/03%3A_Chapter_3_-_Rationals/3.05%3A_Simplify_Complex_Rational_ExpressionsRewrite as the product of first times the reciprocal of the second.Rewrite as the product of first times the reciprocal of the second.Rewrite as the product of first times the reciprocal of the second...Rewrite as the product of first times the reciprocal of the second.Rewrite as the product of first times the reciprocal of the second.Rewrite as the product of first times the reciprocal of the second. Simplify the complex rational expression by using the LCD: \[\dfrac{\dfrac{1}{x}+\dfrac{1}{y}}{\dfrac{x}{y}-\dfrac{y}{x}} \nonumber \] Simplify the complex rational expression by using the LCD: \[\dfrac{\dfrac{1}{x^{2}}-\dfrac{1}{y^{2}}}{\dfrac{1}{x}+\dfrac{1}{y}} \nonumber \]
