Algebra for Beginners |
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... compound expressions and their resolution . into factors should be postponed until the usual opera- tions of Algebra have been exemplified in the case of simple expressions . By this course the beginner soon V becomes acquainted with ...
... compound expressions and their resolution . into factors should be postponed until the usual opera- tions of Algebra have been exemplified in the case of simple expressions . By this course the beginner soon V becomes acquainted with ...
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... SIMULTANEOUS EQUATIONS XV . INVOLUTION ཝྱཎྜཱསྤྲབ 85 89 XVI . EVOLUTION 93 XVII . RESOLUTION INTO FACTORS . CONVERSE USE OF FACTORS 101 MISCELLANEOUS EXAMPLES III . 114 CHAP . XVIII . HIGHEST COMMON FACTOR OF COMPOUND EXPRESSIONS.
... SIMULTANEOUS EQUATIONS XV . INVOLUTION ཝྱཎྜཱསྤྲབ 85 89 XVI . EVOLUTION 93 XVII . RESOLUTION INTO FACTORS . CONVERSE USE OF FACTORS 101 MISCELLANEOUS EXAMPLES III . 114 CHAP . XVIII . HIGHEST COMMON FACTOR OF COMPOUND EXPRESSIONS.
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... COMPOUND EXPRESSIONS XIX . MULTIPLICATION AND DIVISION OF FRACTIONS PAGE 116 122 XX . LOWEST COMMON MULTIPLE OF COMPOUND EXPRESSIONS 126 XXI . ADDITION AND SUBTRACTION OF FRACTIONS 129 XXII . MISCELLANEOUS FRACTIONS XXIII . HARDER ...
... COMPOUND EXPRESSIONS XIX . MULTIPLICATION AND DIVISION OF FRACTIONS PAGE 116 122 XX . LOWEST COMMON MULTIPLE OF COMPOUND EXPRESSIONS 126 XXI . ADDITION AND SUBTRACTION OF FRACTIONS 129 XXII . MISCELLANEOUS FRACTIONS XXIII . HARDER ...
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... compound expression consists of two or more terms . Compound expressions may be E H.A. A further distinguished . Thus an expression of two terms , DEFINITIONS SUBSTITUTIONS.
... compound expression consists of two or more terms . Compound expressions may be E H.A. A further distinguished . Thus an expression of two terms , DEFINITIONS SUBSTITUTIONS.
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... compound expression by a single factor is the algebraic sum of the partial products of each term of the compound expression by that factor . Examples . 3 ( 2a + 3b - 4c ) = 6a + 9b - 12c . ( 4x2 – 7y − S≈3 ) × 3xy2 = 12x3y2 – 21xy3 ...
... compound expression by a single factor is the algebraic sum of the partial products of each term of the compound expression by that factor . Examples . 3 ( 2a + 3b - 4c ) = 6a + 9b - 12c . ( 4x2 – 7y − S≈3 ) × 3xy2 = 12x3y2 – 21xy3 ...
Common terms and phrases
a²+b² acres algebraical sum Arithmetic arranged beginner cents CHAPTER coefficient Completing the square compound expressions convenient cube root descending powers difference digits dimes Divide division divisor Elementary Algebra equal examples see Elementary EXAMPLES XVII exceeds Find the highest Find the lowest find the number Find the product Find the square Find the sum find the value following expressions given expressions half-dollars Hence highest common factor lowest common denominator lowest common multiple lowest terms miles an hour miles per hour minute-hand Multiply negative numerator and denominator obtain quadratic equation quotient Reduce to lowest remainder removing brackets Resolve into factors result rule of signs side simple equation simultaneous equations Solve the equations square root Subtract Transposing trinomial unknown quantities walk whence write yards α α
Popular passages
Page 91 - The product is a2+2a6-}-62; from which it appears, that the square of the sum of two quantities, is equal to the square of the first plus twice the product of the first by the second, plus the square of the second.
Page 107 - Conversely, the difference of the squares of any two quantities is equal to the product of the sum and the difference of the two quantities.
Page 89 - It is evident from the Rule of Signs that (1) no even power of any quantity can be negative; (2) any odd power of a quantity will have the same sign as the quantity itself. NOTE. It is especially worthy of notice that the square of every expression, whether positive or negative, is positive.
Page 54 - Transpose all the terms containing the unknown quantity to one side of the equation, and the "known quantities to the other.