Rational Expressions and Domain

The video tutorial explains how to subtract two rational expressions by finding a common denominator. It covers factoring expressions, setting up the expression with a common denominator, simplifying the numerator, and determining the domain of the expression. The domain excludes values that make the expression undefined.

What is the first step in finding the difference between two rational expressions?

• Divide the expressions

• Multiply the expressions

• Find a common denominator

• Add the numerators directly

How can you find a common denominator for rational expressions?

• By dividing the denominators

• By multiplying the numerators

• By factoring the expressions

• By adding the numerators

What is the factored form of a^2 + 4a + 4?

• (a + 2)(a + 4)

• (a + 4)(a + 4)

• (a + 1)(a + 3)

• (a + 2)(a + 2)

What value of 'a' is excluded from the domain?

• a = -2

• a = 4

• a = 2

• a = 0

What is the result of multiplying (a - 2)(a + 2)?

• a^2 - 2a + 4

• a^2 + 2a - 4

• a^2 - 4

• a^2 + 4

What should you do when subtracting a negative term?

• Ignore the term

• Multiply the term by 2

• Add the term

• Subtract the term

What is the simplified form of the expression a^2 - a - 1 over (a + 2)^2?

• (a - 1)/(a + 2)

• (a^2 - a - 1)/(a + 2)^2

• (a^2 - 1)/(a + 2)

• (a^2 - a)/(a + 2)^2

Why is it important to check for common factors in the numerator and denominator?

• To add more terms

• To change the domain

• To make the expression more complex

• To ensure the expression is fully simplified

What is the domain of the simplified expression?

• All real numbers except a = 2

• All real numbers except a = 0

• All real numbers

• All real numbers except a = -2

What is the final step in solving the problem?

• Multiplying the expression

• Checking the domain

• Rewriting the expression

• Adding more terms