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# Rational Expressions Calculator with Steps

TopRational expression is a collection of many Rational Numbers variables which is collected by arithmetic operations like we have two rational variables like 3x3 + 2x2 - 5x – 4 and -3x3 + 7x2 + 2x – 8 and when we define these two rational numbers variable in numerator and denominator form like, (3x3 + 2x2 - 5x – 4) / (-3x3 + 7x2 + 2x – 8) is called as a rational expression. Now we discuss rational expressions calculator with steps:
We use following steps to solve a rational expression with the help of rational expression calculator -

Step 1: First of all, we find out factors from numerator and denominator like when we evaluate above rational expression R = (3x3 + 2x2 - 5x – 4) / (-3x3 + 7x2 + 2x – 8),
Then, we find out factors of numerator 3x3 + 2x2 - 5x – 4 and denominator,
-3x3 + 7x2 + 2x – 8,
Factor of numerator 3x3 + 2x2 - 5x – 4 = (x + 1)2 (3x – 4), and factors of denominator -3x3 + 7x2 + 2x – 8 = -(x + 1) (x – 2) (3x – 4).
Step 2: After evaluation of factors, now we put factors in given rational expression
R =(3x3 + 2x2 - 5x – 4) / (-3x3 + 7x2 + 2x – 8),
=> R = [(x + 1)2 (3x – 4) / -(x + 1) (x – 2) (3x – 4)].
Step 3: After first two steps, we cancel any common terms, which shows match between numerator and denominator-
R = [(x + 1)2 (3x – 4) / -(x + 1) (x – 2) (3x – 4)],
=> R = (x + 1) / -(x – 2),
So, final answer of rational expression is (x + 1) / - (x – 2).