We covered the following today:

• Factorization
• Addition and subtraction of algebraic fractions
• Multiplication and division of algebraic fractions

The factorization refers to the process to find the common factors among all terms to make up an expression in product. For example, 3x + 6 = 3(x+2). For simple ones, every term has the common factor to take out. For some others, we talk about doing factorization with grouping, by looking at 2 terms as a group.

Like any fraction number being referred as real number, fractions involving algebraic expressions are called algebraic fractions or rational expression. For example, (x-1) / (x+1).

Like real number addition and subtraction, to add or subtract two algebraic fractions, we need to first find the LCM, Least Common Multiple for the denominator, then simplify.

And, multiplication and division of algebraic fractions work the same way as real numbers. For multiplications, you multiply the denominators and enumerators separately and then simply. For division, you flip the denominator to change it to multiplication.

Homework is as follows:

Page 8: 11, 13, 15, 17, 19, 21, 23, 25, 27, 29,31, 33, 35, 37

Page 9: 50 a, 50b, 50c, 51a, 51b, 51c