# 1. Simplify the expression

4 3
— - —
x x

2. Simplify the expression

6 4
— + —
c c²

3. Simplify the expression

3y 9y
— ÷ —
4y - 8 2y² - 4y

4. Simplify the expression:

( 2x³ - x² - 13x - 6 ) ÷ ( x -3 )

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1. The first one has the common denominator of x, so just subtract the numerators : )

2. needs a common denominator. To make the common denominator of c^2 you must multiply the numerator and denominator of the first fraction by c thus
= 6c/c^2 + 4/c^2
= (6c + 4)/c^2
you could factor out of the top, but it wouldn't change the rational expression : )

3. Factor both denominators and find your common denominator, then continue : )

4. YIPPEEEE! Long division (or synthetic division) your choice : )

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2. Wow you make things really fun Ms Pi!

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