Combining rational expressions

The video tutorial explains how to add rational expressions with different denominators by finding the least common denominator (LCD). It covers the process of multiplying numerators and denominators to achieve a common denominator, simplifying numerators using the distributive property and FOIL, and combining like terms. The tutorial also discusses determining restrictions by setting the denominator to zero and concludes with a summary of simplifying rational expressions.

What is the first step when adding rational expressions with different denominators?

• Find a common denominator

• Subtract the denominators

• Multiply the numerators

• Add the numerators directly

What is the least common denominator (LCD) for the expressions given in the video?

• X - 4 * 3X - 1

• X * X - 4 * 3X - 1

• X * 3X - 1

• X * X - 4

When multiplying the numerator and denominator by missing factors, what must you ensure?

• Only the denominator is multiplied

• Neither is multiplied

• Only the numerator is multiplied

• Both numerator and denominator are multiplied by the same factors

Which property is used to simplify the numerators in the video?

• Identity Property

• Distributive Property

• Associative Property

• Commutative Property

What method is applied to multiply binomials in the video?

• Cross Multiplication

• Partial Fraction Decomposition

• Long Division

• FOIL Method

How do you determine the restrictions on the rational expression?

• Set the numerator equal to zero

• Set the expression equal to one

• Set both numerator and denominator equal to zero

• Set the denominator equal to zero

What are the restrictions on the rational expression as determined in the video?

• X = 5, 6, or 7

• X = 0, 4, or 1/3

• X = -1, -2, or -3

• X = 1, 2, or 3