Combining rational expression with unlike denominators

The video tutorial explains how to find the least common multiple (LCM) of two denominators, X + 1 and X - 1, by multiplying them together. It then demonstrates how to multiply the numerators and denominators to achieve the LCM, apply the distributive property, and combine terms. The tutorial further explores simplifying the expression by factoring and finding the final solution, X + 3 / X + 1, with a constraint that X cannot equal -1.

What is the least common multiple (LCM) of the denominators X + 1 and X - 1?

• X^2 - 1

• X + 1 * X - 1

• X - 1

• X + 1

When multiplying expressions, why is it important to use parentheses?

• To simplify the expression

• To avoid using the distributive property

• To ensure correct order of operations

• To make the expression look neat

What is the result of combining the terms 3X and X?

• 3X + X

• 2X

• 4X

• X^2

How can the expression X^2 + 2X - 3 be factored?

• (X + 2)(X - 3)

• (X + 1)(X - 1)

• (X - 3)(X + 1)

• (X + 3)(X - 1)

What is the final simplified expression for the given problem?

• X - 3 / X + 1

• X + 3 / X + 1

• X - 3 / X - 1

• X + 3 / X - 1