An Elementary Treatise on Algebra: To which are Added Exponential Equations and Logarithms |
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Page 37
... Common Denominator . 1 c + d a + b ' a2 - 62 to the common a + b 1 , -62 . a2 + 2ab + b2 a2 - b2 a - bc + d a2 - 62 a2 - 62 ' a2 — 62 a2 Ans . , C 62 71. Problem . To find the least common multiple of given quantities . Solution . When ...
... Common Denominator . 1 c + d a + b ' a2 - 62 to the common a + b 1 , -62 . a2 + 2ab + b2 a2 - b2 a - bc + d a2 - 62 a2 - 62 ' a2 — 62 a2 Ans . , C 62 71. Problem . To find the least common multiple of given quantities . Solution . When ...
Page 38
... least common multiple of a2 + 2ab + b2 , a2 + 4 a b +4 b2 , a2 - b2 , a2 + 3ab + 2b2 , a3 + a2 b - а 62 - 63 . Ans . ( a + b ) 2 ( a - b ) ( a + 2b ) 2 . SECTION Π . Addition and Subtraction of Fractions . 73. Problem . To find the sum ...
... least common multiple of a2 + 2ab + b2 , a2 + 4 a b +4 b2 , a2 - b2 , a2 + 3ab + 2b2 , a3 + a2 b - а 62 - 63 . Ans . ( a + b ) 2 ( a - b ) ( a + 2b ) 2 . SECTION Π . Addition and Subtraction of Fractions . 73. Problem . To find the sum ...
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126 become zero 3d root arithmetical mean arithmetical progression Binomial Theorem coefficient commensurable roots common difference contained continued fraction continued product Corollary deficient terms denote derivative Divide dividend division equal roots equal to zero equation x² factor Find the 3d Find the 4th Find the continued Find the greatest Find the number Find the square Find the sum Free the equation Geometrical Progression given equation gives greatest common divisor Hence imaginary roots last term least common multiple letter logarithm monomials multiplied number of real number of terms polynomial positive roots preceding article Problem quantities in example quotient radical quantities ratio real roots reduced remainder required equation required number row of signs Scholium Second Degree Solution Solve the equation square root Sturm's Theorem subtracted Theorem unity unknown quan unknown quantity variable whence