Find the least common denominator (LCD) of the list of expressions: (frac{1}{x^2-4}, frac{1}{x^2-1}, frac{1}{x^2-9})

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Accepted Answer

Step:1 ：Step 1: Factorize the denominators: (x^2-4 = (x-2)(x+2)), (x^2-1 = (x-1)(x+1)), (x^2-9 = (x-3)(x+3))Step:2 ：Step 2: Identify the unique factors: (x-2), (x+2), (x-1), (x+1), (x-3), (x+3)Step:3 ：Step 3: Multiply all the unique factors to find the LCD: ((x-2)(x+2)(x-1)(x+1)(x-3)(x+3))

Answer

Step: 1 ：Step 1: Factorize the denominators: (x^2-4 = (x-2)(x+2)), (x^2-1 = (x-1)(x+1)), (x^2-9 = (x-3)(x+3))Step: 2 ：Step 2: Identify the unique factors: (x-2), (x+2), (x-1), (x+1), (x-3), (x+3)Step: 3 ：Step 3: Multiply all the unique factors to find the LCD: ((x-2)(x+2)(x-1)(x+1)(x-3)(x+3))

Find the least common denominator (LCD) of the list of expressions: \(\frac{1}{x^2-4}, \frac{1}{x^2-1}, \frac{1}{x^2-9}\)

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