Adding and Subtracting Rational Expressions

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

• Multiply the numerators.

• Find the least common denominator (LCD).

• Simplify each expression individually.

• Add the denominators.

What is the least common denominator (LCD) for the expressions 2/x and 3/x^2?

• x

• x^2

• x^3

• 3x

What are the factored forms of the denominators x^2 - 9 and x^2 - 6x + 9?

• (x-3)(x-3) and (x+3)(x+3)

• (x+3)(x-3) and (x-3)^2

• (x+3)^2 and (x-3)^2

• (x-9)(x+1) and (x-3)(x-3)

What is the simplified numerator after combining the rational expressions x/(x^2 - 9) + 2/(x^2 - 6x + 9)?

• x^2 - x + 6

• x^2 + x + 6

• x^2 - 5x + 6

• x^2 + 6

What is the Least Common Denominator (LCD) of the expressions 2x/(x^2 - x - 6) and 3/(x^2 - 4)?

• (x-3)(x+2)(x-2)

• (x-3)(x+2)

• (x^2 - x - 6)(x^2 - 4)

• (x+2)(x-2)