Simplify a rational expression

The video tutorial explains how to simplify expressions by dividing terms with a common factor. It covers two methods: separating terms in the numerator and factoring out a common factor. The instructor demonstrates both techniques, emphasizing the importance of not separating the denominator under addition and subtraction. The tutorial concludes with a simplified expression, showing that both methods yield the same result.

Why can't you separate the denominator under addition and subtraction?

Describe the two different methods to simplify the expression mentioned in the text.