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Why is factoring an important skill when simplifying complex rational expressions?
rational expresions are the equivalent of fractions. factoring both the numerator and the denominator lets you see and cancel like terms as long as nothing in the problem creates a division by zero error. this is true for real terms as well imaginary terms.
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What is a common mistake that is important to avoid when simplifying rational expressions?
Division by a factor that can be zero.
Simplify this rational expression 12x plus 36 divide by 48x?
The expression (12x + 36)/48x can be simplified by factoring out 12/12 from the expressions. This leaves (x + 3)/4x.
Equations that contain rational expressions?
a rational function.
If the equation of a function is a rational expression the function is rational.?
Yes. Rational functions must contain rational expressions in order to be rational.
Are logarithmic functions rational expressions?
Sometimes :)
What is a common mistake that is important to avoid when simplifying rational expressions?
Division by a factor that can be zero.
If the equation of a function is a rational expressions the function is rational?
Yes. Rational functions must contain rational expressions in order to be rational.
Simplifying rational expressions 6x-5y plus -3x-4y?
(6x - 5y) + (-3x - 4y) =6x - 5y - 3x - 4y =3x - 9y =3 (x - 3y)
Why would you want to factor each expression before multiplying or dividing 2 rational expressions?
In both cases, you may be able to cancel common factors, thus simplifying the expression.
Simplify this rational expression 12x plus 36 divide by 48x?
The expression (12x + 36)/48x can be simplified by factoring out 12/12 from the expressions. This leaves (x + 3)/4x.
What is subtraction of rational expressions?
another rational expression.
Equations that contain rational expressions?
a rational function.
What is integrated algebra?
Introduces the student to the fundamental concepts of algebra. Topics include the following types of expressions and equations: linear, rational, and radical. Other topics covered include exponents, functions and factoring
How is doing operations with rational expressions similar or different from doing equations with fractions and how can they be used in real life?
How is doing operations (adding, subtracting, multiplying, and dividing) with rational expressions similar to or different from doing operations with fractions?If you know how to do arithmetic with rational numbers you will understand the arithmetic with rational functions! Doing operations (adding, subtracting, multiplying, and dividing) is very similar. When you areadding or subtracting they both require a common denominator. When multiplying or dividing it works the same for instance reducing by factoring. Operations on rational expressions is similar to doing operations on fractions. You have to come up with a common denominator in order to add or subtract. To multiply the numerators and denominators separated. In division you flip the second fraction and multiply. The difference is that rational expressions can have variable letters and powers in them.
How do you write mixed expressions as rational expressions?
8+3/n
Simplifying rational algebraic expressions15x cube25xsquared?
3x over 5
What are linear algebraic expressions using fractional coefficients?
Rational linear expressions.
