I am a bit confused about the terms like factor, factoring , factorize , factorization .

Are all those the same things?

Because I was trying to learn this.

Rational expressions, equations, and functions

You accomplish the removal process by factoring the polynomials in the numerator and denominator of the rational function and then reducing the fraction

Are all those the same things?

Because I was trying to learn this.

Rational expressions, equations, and functions

Removal by factoringRational expressions are like fractions, but instead of integers in the numerator and the denominator, you have variable expressions! Learn how to work with such expressions. Namely, simplify, add, subtract, multiply, and divide them (much like fractions!). Then, solve some equations with rational expressions in them, and analyze the behavior of rational functions

You accomplish the removal process by factoring the polynomials in the numerator and denominator of the rational function and then reducing the fraction

By factoring denominators to the form (x-a)(x-b)(x-c).

If both denominators contain (x-a), then the LCD has (x-a) only once

It is not always the case that the LCD is the product of the given denominators. Typically, the denominators are not relatively prime; thus determining the LCD requires some thought. Begin by factoring all denominators.

The LCD is the product of all factors, with the highest power

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