Combining rational expression with unlike denominators

The video tutorial explains how to find the least common multiple (LCM) when dealing with variables in fractions. It begins with a basic introduction to LCM, followed by a step-by-step guide on finding the numeric LCM. The tutorial then covers how to determine the LCM when variables are involved, adjusting denominators to match the LCM, and combining fractions with common denominators. Finally, it discusses writing constraints for denominators to ensure they do not equal zero.

What is the least common multiple (LCM) of the numbers 4 and 1?

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How do you determine the LCM when dealing with variables like X and X squared?

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What values do you need to multiply the denominators by to achieve 4X squared?

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Why can you not combine the numerators when they have unlike terms?

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What is the constraint for the variable X in the context of the problem?

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