An Elementary Treatise on Algebra: To which are Added Exponential Equations and Logarithms |
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... Reduction of Fractions . II . Addition and Subtraction of Fractions . III . Multiplication and Division of Fractions . IV . Proportions . 43 11828 26 26 38 40 50 5555 50 59 65 • 85 90 CHAPTER III . EQUATIONS OF THE FIRST DEGREE ...
... Reduction of Fractions . II . Addition and Subtraction of Fractions . III . Multiplication and Division of Fractions . IV . Proportions . 43 11828 26 26 38 40 50 5555 50 59 65 • 85 90 CHAPTER III . EQUATIONS OF THE FIRST DEGREE ...
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... and but 7 a b and 3 a b are similar terms , - - 5 a4 b3 and 3 a4 b3 are similar ; 2 at b3 and 2 as b4 are not similar . Reduction of Polynomials . 19. The terms of a polynomial 1 * CH . I. § I. ] 5 DEFINITIONS AND NOTATION .
... and but 7 a b and 3 a b are similar terms , - - 5 a4 b3 and 3 a4 b3 are similar ; 2 at b3 and 2 as b4 are not similar . Reduction of Polynomials . 19. The terms of a polynomial 1 * CH . I. § I. ] 5 DEFINITIONS AND NOTATION .
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... reducing polynomials , which contain similar terms , is too obvious to require demonstration . Find the sum of the ... Reduce the polynomial 10 a1 + 3 a1 + 6 aa — a1 — 5 a to its simplest form . Ans . 13 a1 . 2. Reduce the polynomial 5 ...
... reducing polynomials , which contain similar terms , is too obvious to require demonstration . Find the sum of the ... Reduce the polynomial 10 a1 + 3 a1 + 6 aa — a1 — 5 a to its simplest form . Ans . 13 a1 . 2. Reduce the polynomial 5 ...
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... reduced to its simplest form by art . 20 . 24. EXAMPLES . Ans . 2 x . 1. Find the sum of a and a . Ans . 2 a . 2. Find the sum of 11 x and 9 x . Ans . 20 x . 3. Find the sum of 11 x and 9x . 4. Find the sum of 11 x and 9 x . 5. Find the ...
... reduced to its simplest form by art . 20 . 24. EXAMPLES . Ans . 2 x . 1. Find the sum of a and a . Ans . 2 a . 2. Find the sum of 11 x and 9 x . Ans . 20 x . 3. Find the sum of 11 x and 9x . 4. Find the sum of 11 x and 9 x . 5. Find the ...
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... Reduce 32a +3 b − ( 5 a + 176 ) to its simplest Ans . 27 a- 14 b . form . - 11. Reduce a + b − ( 2 a − 3 b ) — ( 5 a + 7 b ) — ( -13 a + 2b ) to its simplest form . Ans . 7a - 5 b . SECTION IV . Multiplication . 28. Problem . To find ...
... Reduce 32a +3 b − ( 5 a + 176 ) to its simplest Ans . 27 a- 14 b . form . - 11. Reduce a + b − ( 2 a − 3 b ) — ( 5 a + 7 b ) — ( -13 a + 2b ) to its simplest form . Ans . 7a - 5 b . SECTION IV . Multiplication . 28. Problem . To find ...
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126 become zero 3d root arithmetical progression 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 given number 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