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Math 2B Algebra formulas reduced

Math 2B Algebra formulas reduced - Logarithms and Log...

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For a complete set of online Algebra notes visit http://tutorial.math.lamar.edu . © 2005 Paul Dawkins Algebra Cheat Sheet Basic Properties & Facts Arithmetic Operations ( ) , 0 b ab ab ac a b c a c c a a a ac b b c bc b c a c ad bc a c ad bc b d bd b d bd a b b a a b a b c d d c c c c a ab ac ad b b c a c a bc d + = + = = = + + = = + = = + + = + = Exponent Properties ( ) ( ) ( ) ( ) 1 1 0 1 1, 0 1 1 n m m m n n m n m n m m m n m n nm n n n n n n n n n n n n n n n n a a a a a a a a a a a a a ab a b b b a a a a a b b a a a b a a + = = = = = = = = = = = = = Properties of Radicals 1 , if is odd , if is even n n n n n n m n nm n n n n n n a a ab a b a a a a b b a a n a a n = = = = = = Properties of Inequalities If then and If and 0 then and If and 0 then and a b a c b c a c b c a b a b c ac bc c c a b a b c ac bc c c < + < + < < > < < < < > > Properties of Absolute Value if 0 if 0 a a a a a = < 0 Triangle Inequality a a a a a ab a b b b a b a b = = = + + Distance Formula If ( ) 1 1 1 , P x y = and ( ) 2 2 2 , P x y = are two points the distance between them is ( ) ( ) ( ) 2 2 1 2 2 1 2 1 , d P P x x y y = + Complex N umbers ( ) ( ) ( ) ( ) ( ) ( ) ( )( ) ( ) ( )( ) ( ) ( ) ( ) 2 2 2 2 2 2 1 1 , 0 Complex Modulus Complex Conjugate i i a i a a a bi c di a c b d i a bi c di a c b d i a bi c di ac bd ad bc i a bi a bi a b a bi a b a bi a bi a bi a bi a bi = = = + + + = + + + + + = + + + = + + + = + + = + + = + + = + For a complete set of online Algebra notes visit http://tutorial.math.lamar.edu .
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