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Simplify. Express your answer as a single fraction in simplest form. \newline2z−y\frac{2}{z} - y

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Simplify mixed rational expressionsright chevron icon

Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newline2z−y\frac{2}{z} - y
  1. Identify Expression: Identify the expression to be simplified.\newlineWe have the expression 2z−y\frac{2}{z - y}. This is already a single fraction, so we need to check if it can be simplified further.
  2. Find Common Factors: Look for common factors in the numerator and the denominator.\newlineThe numerator is 22, which is a prime number, and the denominator is (z−y)(z - y), which does not contain the factor 22. Therefore, there are no common factors that can be canceled out.
  3. Check Simplest Form: Determine if the expression is in simplest form.\newlineSince there are no common factors between the numerator and the denominator, the expression 2z−y\frac{2}{z - y} is already in its simplest form.

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