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What is the sum (a-1)/(abc³)+(3-b)/(abc³) ?

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Final answer:

To find the sum of (a-1)/(abc³)+(3-b)/(abc³), we add the numerators (a - 1) + (3 - b), which simplifies to (a - b + 2), and then write this over the common denominator abc³, resulting in (a - b + 2)/(abc³).

Step-by-step explanation:

The question asks for the sum of two fractions with the same denominator: (a-1)/(abc³) and (3-b)/(abc³). Since the denominators are identical, we can simply add the numerators to find the sum. Here's the step-by-step process:

  1. Write the fractions with a common denominator: (a-1)/(abc³) + (3-b)/(abc³).
  2. Add the numerators: (a - 1) + (3 - b).
  3. Simplify the expression: (a - b + 2).
  4. Place the simplified numerator over the common denominator: (a - b + 2)/(abc³).

The final result is the simplified sum of the two fractions.

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