Algebra (Page 3)

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Contents

Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
ALGEBRAIC NOTATION. 7
PROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
MODES OF REPRESENTING THE OPERATIONS. . . . . . . 21
Addition. . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
Subtraction. . . . . . . . . . . . . . . . . . . . . . . . . . . 23
Multiplication. . . . . . . . . . . . . . . . . . . . . . . . . 25
Division. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
ALGEBRAIC EXPRESSIONS. . . . . . . . . . . . . . . . . . . . 27
OPERATIONS. 31
ADDITION. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31
SUBTRACTION. . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
PARENTHESES. . . . . . . . . . . . . . . . . . . . . . . . 35
MULTIPLICATION. . . . . . . . . . . . . . . . . . . . . . . . . . 37
INVOLUTION. . . . . . . . . . . . . . . . . . . . . . . . . 42
DIVISION. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
EVOLUTION. . . . . . . . . . . . . . . . . . . . . . . . . 51
FACTORS AND MULTIPLES. 57
FACTORING|Six Cases. . . . . . . . . . . . . . . . . . . . . . . 57
GREATEST COMMON FACTOR. . . . . . . . . . . . . . . . . . 68
LEAST COMMON MULTIPLE. . . . . . . . . . . . . . . . . . . 69
FRACTIONS. 75
REDUCTION OF FRACTIONS. . . . . . . . . . . . . . . . . . . 75
OPERATIONS UPON FRACTIONS. . . . . . . . . . . . . . . . 80
Addition and Subtraction. . . . . . . . . . . . . . . . . . . 80
Multiplication and Division. . . . . . . . . . . . . . . . . . 85
Involution, Evolution and Factoring. . . . . . . . . . . . . 90
COMPLEX FRACTIONS. . . . . . . . . . . . . . . . . . . . . . 94

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