Major mistake when solving rational equations

The video tutorial explains how to solve rational equations by identifying and multiplying by the least common denominator (LCD). It covers multiple examples, including using inverse operations, cross multiplication, and factoring. The tutorial also highlights common mistakes students make, such as not checking for extraneous solutions, and provides tips for identifying the LCD in polynomial equations.

What is the relationship between the cross product and the least common denominator in solving rational equations?

In the context of rational equations, what does the term 'least common denominator' refer to?

What method does the teacher recommend for solving quadratic equations that arise from rational equations?

How can one verify that a solution to a rational equation is valid?