algebra

• What are the steps to find a common denominator for algebraic fractions?

  1. Factor each denominator. 2. Identify the least common multiple (LCM) of all denominators.
• If we have $\frac{1}{x+2}$ and $\frac{1}{x-2}$, what happens to $\frac{1}{x+2}$ when we multiply it by $\frac{x-2}{x-2}$?


  It becomes $\frac{x-2}{(x+2)(x-2)}$.
• What is the process to adjust a fraction to have a common denominator?

  1. Multiply both the numerator and denominator by the necessary factor to achieve the common denominator. 2. This keeps the value of the fraction unchanged.
• How do you prepare fractions for addition once a common denominator is found?

  By adjusting each fraction to have the common denominator while maintaining its original value.
• What is a common denominator in the context of fractions?

  A common denominator is a term that can be divided by all the original denominators.
• What would be the common denominator for $\frac{1}{x+2}$ and $\frac{1}{x-2}$?


  The common denominator would be $(x+2)(x-2)$.
• What is the next step after preparing the fractions for addition?

  Add the numerators.