Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify. Express your answer as a single fraction in simplest form. \newline7y357yz55\frac{7y^3}{5} - \frac{7yz^5}{5}

Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newline7y357yz55\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.\newline7y357yz55=7y37yz55\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(y2z5)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.

More problems from Add and subtract rational expressions