Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify. Write your answer using whole numbers and variables.\newline7k21k3\frac{7k - 21}{k - 3}

Full solution

Q. Simplify. Write your answer using whole numbers and variables.\newline7k21k3\frac{7k - 21}{k - 3}
  1. Identify Terms: Identify the terms in the expression.\newlineThe expression given is 7k21k37k - \frac{21}{k} - 3. We have three terms: 7k7k, 21k-\frac{21}{k}, and 3-3.
  2. Common Factors: Look for common factors in the terms.\newlineThe terms 7k7k and 21k-\frac{21}{k} have a common factor of 77. The term 3-3 does not share this common factor.
  3. Factor Out: Factor out the common factor from the terms that have it.\newlineWe can factor out the 77 from 7k7k and 21k-\frac{21}{k}. However, since the terms are separated by subtraction and division, we cannot factor across these operations. This means we cannot factor out the 77 from the entire expression as it is written.
  4. Combine Like Terms: Simplify the expression by combining like terms if possible. In this expression, there are no like terms to combine. Each term is unique in its variables and denominators.
  5. Final Simplified Expression: Write the final simplified expression.\newlineSince there are no like terms to combine and no common factors to factor out across the entire expression, the expression is already in its simplest form. Therefore, the final simplified expression is 7k21k37k - \frac{21}{k} - 3.

More problems from Powers of a power: variable bases

QuestionGet tutor helpright-arrow

Posted 7 months ago

QuestionGet tutor helpright-arrow

Posted 10 months ago