Algebra Period 3 (Tuesday)

Simplify, multiply, and divide RATIONAL EXPRESSIONS: 10-1, 10-2, & 10-3
Rational Expressions = Expressions in fraction format (division) with a variable in the denominator
You have already been simplifying, multiplying and dividing these throughout this year!

10-1: SIMPLIFY
You will need to FACTOR (Chapter 6) both the numerator and denominator and "cross out" common factors in both (their quotient is 1!)

EXAMPLE:

Simplify

y² + 3y + 2the=the(y + 2)(y + 1)thie= th y + 2
Ss y² - 1 andtheisto(y - 1)(y + 1)thethietiy - 1

10-2: MULTIPLY
Factor if possible, cross cancel if possible, multiply numerators, then denominators, simplify

EXAMPLE:

[(y + 4)³][y² + 4y + 4] THEI = (y + 4)³ (y + 2)² R= R y + 4
[(y + 2)³][y² + 8y + 16] THISTH(y + 2)³ (y + 4)² THEy + 2

10-3: DIVIDE
Same as the previous example, only this time you will need to FLIP THE SECOND FRACTION
then MULTIPLY!!!!!

EXAMPLE:
x + 1 ÷ x + 1 T= ( x + 1) ( x² - 2x + 1) =E( x + 1)( x - 1)(x - 1) =
x² – 1Tx² - 2x + 1 T(x + 1)( x - 1) (x + 1)TH(x + 1)( x - 1)(x + 1) TH

x - 1
x + 1