Explain simplifying rational expressions, Mathematics

Assignment Help:

Explain Simplifying Rational Expressions ?

A rational expression, or algebraic fraction, is an expression in which you have a polynomial divided by a polynomial. Sometimes it is said that a rational expression is a polynomial "over" a polynomial.

Here are two examples of rational expressions:

10x3y/15x2y4 and (2x2 +11x +15) /x2-9

Important: The bottom polynomial can never be zero, because division by zero is undefined!
To simplify or reduce a fraction such as 6/15, you must first factor the numerator and denominator, and then you can eliminate, or cross out, the common factors.

Like this:

1707_The bottom polynomial.png
The same canceling procedure can be used to simplify rational expressions. Here are some examples of how you can do this:


Related Discussions:- Explain simplifying rational expressions

Calculate the area and perimeter of a square, Calculate the area and perime...

Calculate the area and perimeter of a square: Calculate the area and perimeter of a square with w = 5´ and l = 6´.  Be sure to involved units in your answer. Solution:

Fundamental theorem of integral facts formulasproperties, Fundamental Theor...

Fundamental Theorem of Calculus, Part I If f(x) is continuous on [a,b] so, g(x) = a ∫ x f(t) dt is continuous on [a,b] and this is differentiable on (a, b) and as,

Linear algebra, Let A be an n×n matrix. Then Show that the set U = {u?R^n ...

Let A be an n×n matrix. Then Show that the set U = {u?R^n : Au = -3un} is a Subspace of R^n

Polynomials, write the zeros of underroot3power2 -8x+4underroot 3

write the zeros of underroot3power2 -8x+4underroot 3

Dynamical system and differential equations, 1. Discuss lyapunov function t...

1. Discuss lyapunov function theory and how it can be used to prove global assmptotic stability of solutions.(Give an example form natural and engineering sciences.) --- Draw le

Multiplication of two unlike terms with opposite signs, The product on mult...

The product on multiplying - 4bc with 2a is - 8abc. That is, a term with minus sign multiplied with a term having a positive term gives a product which has a minus sign. On the

Engg maths, How to get assignment to solve and earn money

How to get assignment to solve and earn money

What is the smaller probable value of this number, The sum of the square of...

The sum of the square of a number and 12 times the number is -27. What is the smaller probable value of this number? Let x = the number.  The statement that is "The sum of the

Fractions Word Problem, 1/8 of the passengers of a train were children.If t...

1/8 of the passengers of a train were children.If there were 40 children travelling in the train on a certain day,how many adults were there in that train that day?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd