Intermediate Algebra Q2 (with music)  Los Angeles Pierce College math assessment sample  Summary and Q&A
TL;DR
Learn how to simplify algebraic fractions by factoring and canceling out common factors.
Questions & Answers
Q: How do you multiply algebraic fractions?
To multiply algebraic fractions, factor the numerators and denominators, and cancel out common factors to simplify the expression. Then, put the remaining factors together to get the final answer.
Q: How do you factor a trinomial with a coefficient of 1?
To factor a trinomial with a coefficient of 1, find two numbers that multiply to give the last term and add up to the coefficient of the middle term. These numbers will be the factors used in the factored form of the trinomial.
Q: Can factors be canceled if they are not in parentheses?
No, factors can only be canceled if they are in parentheses. If a factor is not in parentheses, it cannot be canceled out with a factor in another fraction.
Q: What is the final simplified form in the example given?
The final simplified form in the example is 2x/(x+3)(x+2), where the factors in the parentheses cannot be canceled out.
Summary & Key Takeaways

To multiply algebraic fractions, factor the numerators and denominators and cancel out common factors before putting everything together.

A trinomial can be factored by finding two numbers that multiply to give the last term and add up to the coefficient of the middle term.

Factors cannot be canceled if they are not in parentheses.