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

Demerits and merit-the geometric mean , The geometric mean Merits ...

The geometric mean Merits i.  This makes use of all the values described except while x = 0 or negative ii.   This is the best measure for industrial increase rates

Evaluate the volume and surface area of a rectangular solid, Evaluate the v...

Evaluate the volume and surface area of a rectangular solid: Calculate the volume & surface area of a rectangular solid along with a =   3", b = 4", & c = 5".  Solution:

Find a quadratic polynomial having a and ß, If α,β are the zeros of a Quadr...

If α,β are the zeros of a Quadratic polynomial such that α + β = 24, α - β = 8. Find a Quadratic polynomial having α and β as its zeros.

What is the new cost of the pants, A pair of pants costs $24. The cost was ...

A pair of pants costs $24. The cost was decreased by 8%. What is the new cost of the pants? If the cost of the pants is decreased by 8%, the cost of the pants is 92 percent of

Are parrellel meet at infinity?, no the parallel lines do not meet at infin...

no the parallel lines do not meet at infinity because the parallel lines never intersect each other even at infinity.if the intersect then it is called perpendicuar lines

Algebra, 25 algebraic equations that equal 36

25 algebraic equations that equal 36

profit & loss, A sell a watch to B at gain of 20% and B sell to C at loss ...

A sell a watch to B at gain of 20% and B sell to C at loss of 10%. if C pays @ 432, how much did A pays for it.

Application of statistics-economic order quantities (eoq), economic order q...

economic order quantities (EOQ) Statistics may be utilized in ordering or making economic order quantities as EOQ. It is significant for a business manager to understand that

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