~Math made Easy and Fun~~Math made Easy and Fun~

By: Mary Grace DeSantisBy: Mary Grace DeSantis

Charlie Company 4Charlie Company 4

April 2007April 2007

Steps to Solving an Steps to Solving an Equation Equation • 1. Find and Factor out the Greatest 1. Find and Factor out the Greatest

Common FactorCommon Factor

• 2. Determine the number of terms2. Determine the number of terms

• 3. For a difference of two squares 3. For a difference of two squares equation there will always be two equation there will always be two terms terms

• 4. Make sure to factor out completely 4. Make sure to factor out completely

• 5. Check by multiplying5. Check by multiplying

Notes:Notes:

1. Equation for a Difference of two squares – 1. Equation for a Difference of two squares – (a(a22 – b– b22) or (a-b) (a+b) ) or (a-b) (a+b) 2. The method of finding the product or 2. The method of finding the product or

answer of two factors is FOILanswer of two factors is FOILF – First O – Outer I – Inner L- Last F – First O – Outer I – Inner L- Last 3. (a3. (a2 2 + ab – ab - b+ ab – ab - b22 ) – middle terms cancel ) – middle terms cancel

outout

Example ProblemsExample Problems

XX2 2 – 36– 36

(x – 6) (x + 6)(x – 6) (x + 6)

XX4 4 – 81– 81

( x( x22- 9) ( x- 9) ( x22+ 9)+ 9)

(x - 3) (x(x - 3) (x + 3) (x+ 3) (x22+9)+9)

XX2 2 – 49– 49

( x – 7) ( x + 7)( x – 7) ( x + 7)

The EndThe End

Any Questions?Any Questions?

Any Comments?Any Comments?

Thanks for ListeningThanks for Listening

Now time for your Quiz!!! Good Luck!!Now time for your Quiz!!! Good Luck!!