Rational Expressions: Subtract 1/2x-7/x-3

In summary, a rational expression is a mathematical expression that contains a fraction with polynomials in the numerator and denominator. To subtract them, a common denominator must be found. The expression 1/2x-7/x-3 can be simplified, but is undefined if x=0. Rational expressions with different denominators cannot be added or subtracted without first finding a common denominator. A rational expression differs from a rational number in that it is an algebraic expression, while a rational number can be expressed as a fraction of two integers.
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sandra2
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1/2x-7/x-3 Subtract
 
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  • #2
Do you mean:

\(\displaystyle \frac{1}{2x}-\frac{7}{x-3}\)?

If so, can you show what you've tried so far or give your thoughts on how you should begin?
 

FAQ: Rational Expressions: Subtract 1/2x-7/x-3

1. What is a rational expression?

A rational expression is a mathematical expression that contains a fraction with polynomials (algebraic expressions with multiple terms) in the numerator and denominator. It can also include variables and exponents.

2. How do you subtract rational expressions?

To subtract rational expressions, you must first find a common denominator. Then, you can subtract the numerators and simplify the resulting expression if possible.

3. Can you simplify the expression 1/2x-7/x-3?

Yes, the expression can be simplified by factoring out a 1/x from both terms, resulting in 1/x(1/2x-7). However, if x=0, the expression is undefined.

4. Can you add rational expressions with different denominators?

No, to add or subtract rational expressions, they must have a common denominator. If the denominators are different, you must first find a common denominator before adding or subtracting.

5. What is the difference between a rational expression and a rational number?

A rational expression is an algebraic expression that contains a fraction, while a rational number is a number that can be expressed as a fraction of two integers. All rational numbers can be written as rational expressions, but not all rational expressions can be simplified to rational numbers.

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