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Rational Expressions and Equations

Inverse Variation

A relationship between two variables in which when one variable increases the other decreases in the same proportion . Read more on Inverse Variation

 

Rational Expressions

An expression of the form p(x)/q(x) where p(x) and q(x) are polynomials and q(x) is a non-zero polynomials, is called a rational expression. Read more on Rational Expressions

 

Multiplying Rational Expressions

To multiply rational expressions, Cancel numerator to denominator if possible (but don't cancel parts of a binomial or trinomial). Factor the numerators and denominators if possible. Read more on Multiplying Rational Expressions

 

Dividing Rational Expressions

Dividing rational expressions is done by leaving the first fraction as it is and then multiplying by the reciprocal of the rational expressions following the division sign. Read more on Dividing Rational Expressions

 

Divide Polynomials by Monomials

To divide a polynomial by a monomial, divide each term of the polynomial by the monomial. Read more on Divide Polynomials by Monomials

 

Rational Expressions with Like Denominators

Rational expressions with like denominators can be added by combining the like terms in the numerators and then writing the sum over the common denominator, and simplifying the resulting rational expression, if possible. Read more on Rational Expressions with Like Denominators

 

Rational Expressions with Unlike Denominators

To add rational expressions with unlike denominators, f ind the LCD of the expressions, then, change each expression into an equivalent expression with the LCD as the denominator and add the numerators by combining the like terms. Read more on Rational Expressions with Unlike Denominators

 

Mixed Expressions and Complex Fractions

Algebraic expressions such as x + y/z are called mixed expressions . Read more on Mixed Expressions and Complex Fractions

 

Solving Rational Equations

Rational Equation: An equation which has a rational expression on one or both sides of the equal sign. Read more on Solving Rational Equations

 


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