- #1
PaperStSoap
- 9
- 0
(3/x-2) - (4/x+2) / (7/x2-4)
I got it down to...
-x+14/7
but the book is showing
x-14/7
I got it down to...
-x+14/7
but the book is showing
x-14/7
[tex]\dfrac{\dfrac{3}{x-2} - \dfrac{4}{x+2}}{\dfrac{7}{x^2-4}}[/tex]
I got it down to: .$\dfrac{-x+14}{7}$ . You are right!
But the book is showing: .$\dfrac{x-14}{7}$ . The book is wrong!
Fantini said:Welcome to MHB, Paper! :D
Which of these expressions did you mean:
$$\frac{3}{x-2} - \frac{ \frac{4}{x+2} }{ \frac{7}{x^2 -4} } \quad \text{ or } \quad \frac{ \frac{3}{x-2} - \frac{4}{x+2} }{ \frac{7}{x^2 -4} }?$$
PaperStSoap said:My apologies, the problem was the second one.
A complex rational expression is an algebraic expression that contains fractions and/or variables in the numerator and/or denominator. It may also have exponents, roots, and other algebraic operations.
To simplify a complex rational expression, you need to factor both the numerator and the denominator and then cancel out any common factors. This will reduce the expression to its simplest form.
No, not all complex rational expressions can be simplified. Some may already be in their simplest form, while others may have terms that cannot be factored or cancelled out.
Some common mistakes to avoid when simplifying complex rational expressions include forgetting to factor completely, cancelling out terms incorrectly, and making arithmetic errors.
Simplifying complex rational expressions can make them easier to work with and understand. It can also help in solving equations and identifying patterns in mathematical problems.