Combining rational expression with unlike denominators

The video tutorial covers the process of simplifying algebraic expressions, focusing on finding the least common multiple (LCM) and applying the distributive property. It begins with an introduction to the expression and the concept of LCM, followed by factoring techniques. The tutorial then demonstrates how to apply the distributive property to simplify expressions and combine like terms. Finally, it addresses the simplification of the expression and identifies restrictions based on the zero product property.

What is the first step in simplifying the expression X^2 - 4?

• Divide by 2

• Multiply by X

• Identify it as a difference of squares

• Add 4 to both sides

What is the LCM of the expressions X^2 - 4 and X + 4?

• X + 2

• X - 2

• X + 2 * X - 2

• X^2 + 4

When applying the distributive property, what should you be careful about?

• Distribute to all terms within parentheses

• Multiply by zero

• Only distribute to the first term

• Ignore the negative sign

After combining like terms, what is the simplified form of X - 15X?

• -14X

• 14X

• -16X

• 16X

What are the restrictions on the variable X in the final expression?

• X cannot be 0

• X cannot be 2 or -2

• X must be positive

• X can be any real number