**Rational expression**a very important math topic that is some how similar to fractions. So, before moving to

**rational expressions**let’s put some light on fractions. “Fractions are the numbers which are in form of ‘A/B’ where, ‘A’ is numerator and ‘B’ is denominator.

In the

**rational expressions**the numerator and denominator consists of polynomial equations or polynomial terms, these equations consists of number of derivatives of variables. All the operations which can easily apply on fractions can also be apply on

**rational expressions**like addition, subtraction, division, and multiplication. In other words we can say that, “A

**rational expression**is a ratio of two polynomial functions”.

f(x) = P(x)/Q(x) where, ‘P’ and ‘Q’ are the polynomial functions.

Let’s take an example of rational expression:

x

^{2}+y

^{2 }/ x

^{2}-y

^{2}

In the above example x

^{2}+y

^{2 }is in place of P and x

^{2}-y

^{2 }in place of ‘Q’.

While

**Simplifying Rational Expressions**we need to factorize numerator and denominator polynomials. After that we need to cancel out all the common terms from the numerator and denominator and we perform the same operation until no common factor left. While solving the

**rational expression**we need to be careful about one more important thing which says that denominator should not be equal to zero, if the denominator is equal to zero then the answer of the question will be infinity. Let’s take an example of rational expression, (x+4) / (x-3)

Here if the value of x is ‘3’ then the result is zero so ‘x’ should not be equal to ‘3’.

If you want to learn more about

**rational expression**and all other algebra topics then you can take help of

**Online Solver**. The online solvers are available for 24x7 so you can take their help any time and from anywhere. You can share your all math problems with online tutors by using live online chat or video conferencing also.

SOLVING EQUATIONS CONTAINING RATIONAL EXPRESSIONS?

ReplyDelete1/5x - 1/x+6 = 1/2x^2+12x

I cant figure out the LCD and I did it over 15 time in god knows how many ways!

Please help me!!

If you can show me how you got the answer that was be amazingly great!! Thank You