Rational Expressions and Equations

For chapter 6, I learned solving rational expressions and equations which include addition, subtraction, multiplication, and division.

First, rational expressions are defined as a fraction in which the numerator and denominator are polynomials but one thing to note is that the denominator can’t be zero. It cannot contain roots and exponents of variables.

If there is a variable that makes the denominator zero, then it is considered as a non-permissible value.

e.g

x-3/x-5

x cannot be +5 as it will make changes to the denominator to (5-5=0). That’s why +5 is a non-permissible value.

here are the examples of dealing with addition, subtraction, multiplication, and division.

for addition, subtraction, the key point is to find the same denominator as normal fractions, as long as we’ve got the same denominator, then just focus on the upper part.

for multiplication and division, we can just simply apply the strategies for doing normal rational numbers.

One important thing is at the end, all the non-permissible value must be listed out

 

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