What is the LCD of $$\frac{4}{x^2-1}$$ and $$\frac{5}{x^2-4}$$ ?

The LCD is $$(x-1)(x+1)(x-2)(x+2)$$ .

What is the LCD of $$\frac{1}{x^2-4}$$ and $$\frac{1}{x^2-1}$$ ?

The LCD is $$(x-2)(x+2)(x-1)(x+1)$$ .

What is the LCD of $$\frac{1}{x^2-3x}$$ and $$\frac{1}{x^2-4}$$ ?

The LCD is $$x(x-3)(x-2)(x+2)$$ .

What is the LCD of $$\frac{1}{x^2-5x+6}$$ and $$\frac{1}{x^2-4}$$ ?

The LCD is $$(x-2)(x-3)(x-2)(x+2)$$ .

What is the LCD of $$\frac{1}{x^2-1}$$ and $$\frac{1}{x^2-9}$$ ?

The LCD is $$(x-1)(x+1)(x-3)(x+3)$$ .

What is the LCD of $$\frac{1}{x^2-2x}$$ and $$\frac{1}{x^2-1}$$ ?

The LCD is $$x(x-2)(x-1)(x+1)$$ .

What is the LCD of $$\frac{1}{x^2-4}$$ and $$\frac{1}{x^2-9}$$ ?

The LCD is $$(x-2)(x+2)(x-3)(x+3)$$ .

LCD of Rational Expressions Flashcards

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1.

FLASHCARD QUESTION

Front

What is the definition of the Least Common Denominator (LCD)?

Back

The Least Common Denominator (LCD) is the smallest multiple that is common to the denominators of two or more fractions.

2.

FLASHCARD QUESTION

Front

How do you find the LCD of two rational expressions?

Back

To find the LCD, factor each denominator into its prime factors, then take the highest power of each factor that appears in any of the denominators.

3.

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4.

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5.

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6.

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7.

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