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the second rational expression is never zero in the denominator and so we don’t need to worry about any restrictions. the first topic that we need to discuss here is reducing a rational expression to lowest terms. when reducing a rational expression to lowest terms the first thing that we will do is factor both the numerator and denominator as much as possible. at this point we can see that we’ve got a common factor in both the numerator and the denominator and so we can cancel the \(x\)-4 from both. notice that we moved the minus sign from the denominator to the front of the rational expression in the final form. note as well that to do division of rational expressions all that we need to do is multiply the numerator by the reciprocal of the denominator (i.e.

in this case we do have multiplication so cancel as much as we can and then do the multiplication to get the answer. also notice that if we factor a minus sign out of the denominator of the second rational expression. in this case the least common denominator is 12. so we need to get the denominators of these two fractions to a 12. this is easy to do. for the second term we’ll need to multiply the numerator and denominator by a 3. now, the process for rational expressions is identical. the final step is to do any multiplication in the numerator and simplify that up as much as possible. if we factor a minus out of the numerator we can do some canceling.

in this section we will define rational expressions. rational inequalities absolute value equations absolute do this with number fractions so let’s take a quick look at an example. solution: in this example, the numerator x + 7 is a linear expression and the denominator 2 x 2 + x − 6 is a quadratic rational expressions and equations activity: what’s rational expressions foldable template., solving rational equations worksheet, solving rational equations worksheet, solving rational equations – practice, rational expressions and functions, rational equation solver.

solve equations with rational expressions. know if a example 1: solve example 1a for y. video introduction. equations that contain rational expressions are called rational equations. extra work. here’s an example: rational expressions and rational equations can be useful tools for representing real life let’s look at an example: , simplifying rational expressions, equations with one rational expression, equations with one rational expression, rational equation formula, radical and rational equations practice

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