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Simplify. Express your answer as a single fraction in simplest form. \newline7y35−7yz55\frac{7y^3}{5} - \frac{7yz^5}{5}

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Add and subtract rational expressionsright chevron icon

Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newline7y35−7yz55\frac{7y^3}{5} - \frac{7yz^5}{5}
  1. Identify Common Denominator: Identify the common denominator.\newlineSince both terms have the same denominator, we can combine them into a single fraction.
  2. Combine Terms: Combine the terms.\newline7y35−7yz55=7y3−7yz55\frac{7y^3}{5} - \frac{7yz^5}{5} = \frac{7y^3 - 7yz^5}{5}
  3. Factor Out Common Factor: Factor out the common factor in the numerator.\newlineBoth terms in the numerator have a common factor of 7y7y, so we can factor it out.\newline7y(y2−z5)5\frac{7y(y^2 - z^5)}{5}
  4. Check for Simplification: Check for any further simplification. There are no common factors between the numerator and the denominator that can be canceled out, so the expression is now in its simplest form.

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